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Finding the Third Proportional to 49,472,538 and 77,035,653

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Solution

The third proportional to 49,472,538 and 77,035,653 is: 119,955,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472,538 : 77,035,653 = 77,035,653 : x
  2. Step 2: Convert to fraction form
    49,472,538/77,035,653 = 77,035,653/x
  3. Step 3: Cross multiply
    49,472,538x = 77,035,653 × 77,035,653
  4. Step 4: Simplify right side
    49,472,538x = 5,934,491,833,136,409
  5. Step 5: Solve for x
    x = 5,934,491,833,136,409/49,472,538
  6. Step 6: Final answer
    x = 119,955,273.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.