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Finding the Third Proportional to 10,399,581 and 23,189,064.50

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Solution

The third proportional to 10,399,581 and 23,189,064.50 is: 51,707,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,581 : 23,189,064.50 = 23,189,064.50 : x
  2. Step 2: Convert to fraction form
    10,399,581/23,189,064.50 = 23,189,064.50/x
  3. Step 3: Cross multiply
    10,399,581x = 23,189,064.50 × 23,189,064.50
  4. Step 4: Simplify right side
    10,399,581x = 537,732,712,385,160.25
  5. Step 5: Solve for x
    x = 537,732,712,385,160.25/10,399,581
  6. Step 6: Final answer
    x = 51,707,151.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.