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Finding the Third Proportional to 42,561,225 and 66,037,536

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Solution

The third proportional to 42,561,225 and 66,037,536 is: 102,463,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561,225 : 66,037,536 = 66,037,536 : x
  2. Step 2: Convert to fraction form
    42,561,225/66,037,536 = 66,037,536/x
  3. Step 3: Cross multiply
    42,561,225x = 66,037,536 × 66,037,536
  4. Step 4: Simplify right side
    42,561,225x = 4,360,956,160,951,296
  5. Step 5: Solve for x
    x = 4,360,956,160,951,296/42,561,225
  6. Step 6: Final answer
    x = 102,463,126.02

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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.