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Finding the Third Proportional to 3,386,141 and 7,231,510

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Solution

The third proportional to 3,386,141 and 7,231,510 is: 15,443,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,141 : 7,231,510 = 7,231,510 : x
  2. Step 2: Convert to fraction form
    3,386,141/7,231,510 = 7,231,510/x
  3. Step 3: Cross multiply
    3,386,141x = 7,231,510 × 7,231,510
  4. Step 4: Simplify right side
    3,386,141x = 52,294,736,880,100
  5. Step 5: Solve for x
    x = 52,294,736,880,100/3,386,141
  6. Step 6: Final answer
    x = 15,443,756.44

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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.