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Finding the Third Proportional to 1,090,108,524 and 2,391,247,107

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Solution

The third proportional to 1,090,108,524 and 2,391,247,107 is: 5,245,406,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,108,524 : 2,391,247,107 = 2,391,247,107 : x
  2. Step 2: Convert to fraction form
    1,090,108,524/2,391,247,107 = 2,391,247,107/x
  3. Step 3: Cross multiply
    1,090,108,524x = 2,391,247,107 × 2,391,247,107
  4. Step 4: Simplify right side
    1,090,108,524x = 5,718,062,726,735,869,952
  5. Step 5: Solve for x
    x = 5,718,062,726,735,869,952/1,090,108,524
  6. Step 6: Final answer
    x = 5,245,406,857.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.