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Finding the Third Proportional to 47,125,570 and 73,227,460.50

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Solution

The third proportional to 47,125,570 and 73,227,460.50 is: 113,786,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,125,570 : 73,227,460.50 = 73,227,460.50 : x
  2. Step 2: Convert to fraction form
    47,125,570/73,227,460.50 = 73,227,460.50/x
  3. Step 3: Cross multiply
    47,125,570x = 73,227,460.50 × 73,227,460.50
  4. Step 4: Simplify right side
    47,125,570x = 5,362,260,971,279,060
  5. Step 5: Solve for x
    x = 5,362,260,971,279,060/47,125,570
  6. Step 6: Final answer
    x = 113,786,654.92

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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.