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Finding the Third Proportional to 47,658,242.50 and 73,644,137

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Solution

The third proportional to 47,658,242.50 and 73,644,137 is: 113,798,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658,242.50 : 73,644,137 = 73,644,137 : x
  2. Step 2: Convert to fraction form
    47,658,242.50/73,644,137 = 73,644,137/x
  3. Step 3: Cross multiply
    47,658,242.50x = 73,644,137 × 73,644,137
  4. Step 4: Simplify right side
    47,658,242.50x = 5,423,458,914,474,769
  5. Step 5: Solve for x
    x = 5,423,458,914,474,769/47,658,242.50
  6. Step 6: Final answer
    x = 113,798,970.13

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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.