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Finding the Third Proportional to 40,895,294 and 87,536,567

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Solution

The third proportional to 40,895,294 and 87,536,567 is: 187,372,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,895,294 : 87,536,567 = 87,536,567 : x
  2. Step 2: Convert to fraction form
    40,895,294/87,536,567 = 87,536,567/x
  3. Step 3: Cross multiply
    40,895,294x = 87,536,567 × 87,536,567
  4. Step 4: Simplify right side
    40,895,294x = 7,662,650,562,145,489
  5. Step 5: Solve for x
    x = 7,662,650,562,145,489/40,895,294
  6. Step 6: Final answer
    x = 187,372,428.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.