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Finding the Third Proportional to 42,561,264 and 66,037,590

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Solution

The third proportional to 42,561,264 and 66,037,590 is: 102,463,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561,264 : 66,037,590 = 66,037,590 : x
  2. Step 2: Convert to fraction form
    42,561,264/66,037,590 = 66,037,590/x
  3. Step 3: Cross multiply
    42,561,264x = 66,037,590 × 66,037,590
  4. Step 4: Simplify right side
    42,561,264x = 4,360,963,293,008,100
  5. Step 5: Solve for x
    x = 4,360,963,293,008,100/42,561,264
  6. Step 6: Final answer
    x = 102,463,199.71

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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.