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Finding the Third Proportional to 10,910,734 and 16,366,102

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Solution

The third proportional to 10,910,734 and 16,366,102 is: 24,549,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910,734 : 16,366,102 = 16,366,102 : x
  2. Step 2: Convert to fraction form
    10,910,734/16,366,102 = 16,366,102/x
  3. Step 3: Cross multiply
    10,910,734x = 16,366,102 × 16,366,102
  4. Step 4: Simplify right side
    10,910,734x = 267,849,294,674,404
  5. Step 5: Solve for x
    x = 267,849,294,674,404/10,910,734
  6. Step 6: Final answer
    x = 24,549,154.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.