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Finding the Third Proportional to 42,472,620 and 65,586,549

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Solution

The third proportional to 42,472,620 and 65,586,549 is: 101,279,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472,620 : 65,586,549 = 65,586,549 : x
  2. Step 2: Convert to fraction form
    42,472,620/65,586,549 = 65,586,549/x
  3. Step 3: Cross multiply
    42,472,620x = 65,586,549 × 65,586,549
  4. Step 4: Simplify right side
    42,472,620x = 4,301,595,409,729,401
  5. Step 5: Solve for x
    x = 4,301,595,409,729,401/42,472,620
  6. Step 6: Final answer
    x = 101,279,257.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.