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Finding the Third Proportional to 9,288,786 and 14,347,344

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Solution

The third proportional to 9,288,786 and 14,347,344 is: 22,160,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288,786 : 14,347,344 = 14,347,344 : x
  2. Step 2: Convert to fraction form
    9,288,786/14,347,344 = 14,347,344/x
  3. Step 3: Cross multiply
    9,288,786x = 14,347,344 × 14,347,344
  4. Step 4: Simplify right side
    9,288,786x = 205,846,279,854,336
  5. Step 5: Solve for x
    x = 205,846,279,854,336/9,288,786
  6. Step 6: Final answer
    x = 22,160,730.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.