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Finding the Third Proportional to 3,386,148 and 7,231,527

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Solution

The third proportional to 3,386,148 and 7,231,527 is: 15,443,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,148 : 7,231,527 = 7,231,527 : x
  2. Step 2: Convert to fraction form
    3,386,148/7,231,527 = 7,231,527/x
  3. Step 3: Cross multiply
    3,386,148x = 7,231,527 × 7,231,527
  4. Step 4: Simplify right side
    3,386,148x = 52,294,982,751,729
  5. Step 5: Solve for x
    x = 52,294,982,751,729/3,386,148
  6. Step 6: Final answer
    x = 15,443,797.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.