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Finding the Third Proportional to 9,350,784 and 12,671,424

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Solution

The third proportional to 9,350,784 and 12,671,424 is: 17,171,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350,784 : 12,671,424 = 12,671,424 : x
  2. Step 2: Convert to fraction form
    9,350,784/12,671,424 = 12,671,424/x
  3. Step 3: Cross multiply
    9,350,784x = 12,671,424 × 12,671,424
  4. Step 4: Simplify right side
    9,350,784x = 160,564,986,187,776
  5. Step 5: Solve for x
    x = 160,564,986,187,776/9,350,784
  6. Step 6: Final answer
    x = 17,171,285.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.