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Finding the Third Proportional to 7,642,446 and 11,148,612

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Solution

The third proportional to 7,642,446 and 11,148,612 is: 16,263,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642,446 : 11,148,612 = 11,148,612 : x
  2. Step 2: Convert to fraction form
    7,642,446/11,148,612 = 11,148,612/x
  3. Step 3: Cross multiply
    7,642,446x = 11,148,612 × 11,148,612
  4. Step 4: Simplify right side
    7,642,446x = 124,291,549,526,544
  5. Step 5: Solve for x
    x = 124,291,549,526,544/7,642,446
  6. Step 6: Final answer
    x = 16,263,320.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.