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Finding the Third Proportional to 3,386,153 and 7,231,534

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Solution

The third proportional to 3,386,153 and 7,231,534 is: 15,443,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,153 : 7,231,534 = 7,231,534 : x
  2. Step 2: Convert to fraction form
    3,386,153/7,231,534 = 7,231,534/x
  3. Step 3: Cross multiply
    3,386,153x = 7,231,534 × 7,231,534
  4. Step 4: Simplify right side
    3,386,153x = 52,295,083,993,156
  5. Step 5: Solve for x
    x = 52,295,083,993,156/3,386,153
  6. Step 6: Final answer
    x = 15,443,804.22

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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.