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Finding the Third Proportional to 6,291,624 and 13,760,712

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Solution

The third proportional to 6,291,624 and 13,760,712 is: 30,096,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291,624 : 13,760,712 = 13,760,712 : x
  2. Step 2: Convert to fraction form
    6,291,624/13,760,712 = 13,760,712/x
  3. Step 3: Cross multiply
    6,291,624x = 13,760,712 × 13,760,712
  4. Step 4: Simplify right side
    6,291,624x = 189,357,194,746,944
  5. Step 5: Solve for x
    x = 189,357,194,746,944/6,291,624
  6. Step 6: Final answer
    x = 30,096,711.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.