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Finding the Third Proportional to 49,472,532 and 77,035,644

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Solution

The third proportional to 49,472,532 and 77,035,644 is: 119,955,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472,532 : 77,035,644 = 77,035,644 : x
  2. Step 2: Convert to fraction form
    49,472,532/77,035,644 = 77,035,644/x
  3. Step 3: Cross multiply
    49,472,532x = 77,035,644 × 77,035,644
  4. Step 4: Simplify right side
    49,472,532x = 5,934,490,446,494,736
  5. Step 5: Solve for x
    x = 5,934,490,446,494,736/49,472,532
  6. Step 6: Final answer
    x = 119,955,260.15

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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.