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Finding the Third Proportional to 10,024,932 and 16,141,602

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Solution

The third proportional to 10,024,932 and 16,141,602 is: 25,990,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024,932 : 16,141,602 = 16,141,602 : x
  2. Step 2: Convert to fraction form
    10,024,932/16,141,602 = 16,141,602/x
  3. Step 3: Cross multiply
    10,024,932x = 16,141,602 × 16,141,602
  4. Step 4: Simplify right side
    10,024,932x = 260,551,315,126,404
  5. Step 5: Solve for x
    x = 260,551,315,126,404/10,024,932
  6. Step 6: Final answer
    x = 25,990,332.42

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.