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Finding the Third Proportional to 51,729,657.75 and 77,602,141.13

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Solution

The third proportional to 51,729,657.75 and 77,602,141.13 is: 116,414,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,729,657.75 : 77,602,141.13 = 77,602,141.13 : x
  2. Step 2: Convert to fraction form
    51,729,657.75/77,602,141.13 = 77,602,141.13/x
  3. Step 3: Cross multiply
    51,729,657.75x = 77,602,141.13 × 77,602,141.13
  4. Step 4: Simplify right side
    51,729,657.75x = 6,022,092,307,184,416
  5. Step 5: Solve for x
    x = 6,022,092,307,184,416/51,729,657.75
  6. Step 6: Final answer
    x = 116,414,694.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.