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Finding the Third Proportional to 49,472,539 and 77,035,654.50

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Solution

The third proportional to 49,472,539 and 77,035,654.50 is: 119,955,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472,539 : 77,035,654.50 = 77,035,654.50 : x
  2. Step 2: Convert to fraction form
    49,472,539/77,035,654.50 = 77,035,654.50/x
  3. Step 3: Cross multiply
    49,472,539x = 77,035,654.50 × 77,035,654.50
  4. Step 4: Simplify right side
    49,472,539x = 5,934,492,064,243,370
  5. Step 5: Solve for x
    x = 5,934,492,064,243,370/49,472,539
  6. Step 6: Final answer
    x = 119,955,275.88

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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.