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Finding the Third Proportional to 6,232,306 and 9,389,472

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Solution

The third proportional to 6,232,306 and 9,389,472 is: 14,145,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232,306 : 9,389,472 = 9,389,472 : x
  2. Step 2: Convert to fraction form
    6,232,306/9,389,472 = 9,389,472/x
  3. Step 3: Cross multiply
    6,232,306x = 9,389,472 × 9,389,472
  4. Step 4: Simplify right side
    6,232,306x = 88,162,184,438,784
  5. Step 5: Solve for x
    x = 88,162,184,438,784/6,232,306
  6. Step 6: Final answer
    x = 14,145,997.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.