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Finding the Third Proportional to 43,098,940 and 66,919,319

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Solution

The third proportional to 43,098,940 and 66,919,319 is: 103,904,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098,940 : 66,919,319 = 66,919,319 : x
  2. Step 2: Convert to fraction form
    43,098,940/66,919,319 = 66,919,319/x
  3. Step 3: Cross multiply
    43,098,940x = 66,919,319 × 66,919,319
  4. Step 4: Simplify right side
    43,098,940x = 4,478,195,255,423,761
  5. Step 5: Solve for x
    x = 4,478,195,255,423,761/43,098,940
  6. Step 6: Final answer
    x = 103,904,997.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.