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Finding the Third Proportional to 3,146,807,029,952.20 and 6,847,727,794,194.30

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Solution

The third proportional to 3,146,807,029,952.20 and 6,847,727,794,194.30 is: 14,901,255,621,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,807,029,952.20 : 6,847,727,794,194.30 = 6,847,727,794,194.30 : x
  2. Step 2: Convert to fraction form
    3,146,807,029,952.20/6,847,727,794,194.30 = 6,847,727,794,194.30/x
  3. Step 3: Cross multiply
    3,146,807,029,952.20x = 6,847,727,794,194.30 × 6,847,727,794,194.30
  4. Step 4: Simplify right side
    3,146,807,029,952.20x = 46,891,375,943,381,127,083,851,776
  5. Step 5: Solve for x
    x = 46,891,375,943,381,127,083,851,776/3,146,807,029,952.20
  6. Step 6: Final answer
    x = 14,901,255,621,032.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.