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Finding the Third Proportional to 10,477,134 and 15,754,689

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Solution

The third proportional to 10,477,134 and 15,754,689 is: 23,690,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477,134 : 15,754,689 = 15,754,689 : x
  2. Step 2: Convert to fraction form
    10,477,134/15,754,689 = 15,754,689/x
  3. Step 3: Cross multiply
    10,477,134x = 15,754,689 × 15,754,689
  4. Step 4: Simplify right side
    10,477,134x = 248,210,225,486,721
  5. Step 5: Solve for x
    x = 248,210,225,486,721/10,477,134
  6. Step 6: Final answer
    x = 23,690,660.58

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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.