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Finding the Third Proportional to 6,499,662 and 14,084,076

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Solution

The third proportional to 6,499,662 and 14,084,076 is: 30,518,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,662 : 14,084,076 = 14,084,076 : x
  2. Step 2: Convert to fraction form
    6,499,662/14,084,076 = 14,084,076/x
  3. Step 3: Cross multiply
    6,499,662x = 14,084,076 × 14,084,076
  4. Step 4: Simplify right side
    6,499,662x = 198,361,196,773,776
  5. Step 5: Solve for x
    x = 198,361,196,773,776/6,499,662
  6. Step 6: Final answer
    x = 30,518,694.17

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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.