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Finding the Third Proportional to 47,016,703.13 and 72,652,762.69

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Solution

The third proportional to 47,016,703.13 and 72,652,762.69 is: 112,266,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,016,703.13 : 72,652,762.69 = 72,652,762.69 : x
  2. Step 2: Convert to fraction form
    47,016,703.13/72,652,762.69 = 72,652,762.69/x
  3. Step 3: Cross multiply
    47,016,703.13x = 72,652,762.69 × 72,652,762.69
  4. Step 4: Simplify right side
    47,016,703.13x = 5,278,423,926,126,192
  5. Step 5: Solve for x
    x = 5,278,423,926,126,192/47,016,703.13
  6. Step 6: Final answer
    x = 112,266,993.97

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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.