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Finding the Third Proportional to 12,472,848 and 18,658,413

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Solution

The third proportional to 12,472,848 and 18,658,413 is: 27,911,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472,848 : 18,658,413 = 18,658,413 : x
  2. Step 2: Convert to fraction form
    12,472,848/18,658,413 = 18,658,413/x
  3. Step 3: Cross multiply
    12,472,848x = 18,658,413 × 18,658,413
  4. Step 4: Simplify right side
    12,472,848x = 348,136,375,678,569
  5. Step 5: Solve for x
    x = 348,136,375,678,569/12,472,848
  6. Step 6: Final answer
    x = 27,911,538.38

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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.