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Finding the Third Proportional to 10,912,610 and 16,301,523

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Solution

The third proportional to 10,912,610 and 16,301,523 is: 24,351,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912,610 : 16,301,523 = 16,301,523 : x
  2. Step 2: Convert to fraction form
    10,912,610/16,301,523 = 16,301,523/x
  3. Step 3: Cross multiply
    10,912,610x = 16,301,523 × 16,301,523
  4. Step 4: Simplify right side
    10,912,610x = 265,739,652,119,529
  5. Step 5: Solve for x
    x = 265,739,652,119,529/10,912,610
  6. Step 6: Final answer
    x = 24,351,612.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.