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Finding the Third Proportional to 9,896,408 and 15,323,484

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Solution

The third proportional to 9,896,408 and 15,323,484 is: 23,726,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896,408 : 15,323,484 = 15,323,484 : x
  2. Step 2: Convert to fraction form
    9,896,408/15,323,484 = 15,323,484/x
  3. Step 3: Cross multiply
    9,896,408x = 15,323,484 × 15,323,484
  4. Step 4: Simplify right side
    9,896,408x = 234,809,161,898,256
  5. Step 5: Solve for x
    x = 234,809,161,898,256/9,896,408
  6. Step 6: Final answer
    x = 23,726,705.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.