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Finding the Third Proportional to 2,132,357 and 5,033,730

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Solution

The third proportional to 2,132,357 and 5,033,730 is: 11,882,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,357 : 5,033,730 = 5,033,730 : x
  2. Step 2: Convert to fraction form
    2,132,357/5,033,730 = 5,033,730/x
  3. Step 3: Cross multiply
    2,132,357x = 5,033,730 × 5,033,730
  4. Step 4: Simplify right side
    2,132,357x = 25,338,437,712,900
  5. Step 5: Solve for x
    x = 25,338,437,712,900/2,132,357
  6. Step 6: Final answer
    x = 11,882,830.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.