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Finding the Third Proportional to 47,881,288.50 and 74,292,105

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Solution

The third proportional to 47,881,288.50 and 74,292,105 is: 115,270,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881,288.50 : 74,292,105 = 74,292,105 : x
  2. Step 2: Convert to fraction form
    47,881,288.50/74,292,105 = 74,292,105/x
  3. Step 3: Cross multiply
    47,881,288.50x = 74,292,105 × 74,292,105
  4. Step 4: Simplify right side
    47,881,288.50x = 5,519,316,865,331,025
  5. Step 5: Solve for x
    x = 5,519,316,865,331,025/47,881,288.50
  6. Step 6: Final answer
    x = 115,270,850.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.