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Finding the Third Proportional to 3,169,078,095,924 and 6,864,385,331,520

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Solution

The third proportional to 3,169,078,095,924 and 6,864,385,331,520 is: 14,868,609,909,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169,078,095,924 : 6,864,385,331,520 = 6,864,385,331,520 : x
  2. Step 2: Convert to fraction form
    3,169,078,095,924/6,864,385,331,520 = 6,864,385,331,520/x
  3. Step 3: Cross multiply
    3,169,078,095,924x = 6,864,385,331,520 × 6,864,385,331,520
  4. Step 4: Simplify right side
    3,169,078,095,924x = 47,119,785,979,586,943,920,373,760
  5. Step 5: Solve for x
    x = 47,119,785,979,586,943,920,373,760/3,169,078,095,924
  6. Step 6: Final answer
    x = 14,868,609,909,043.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.