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Finding the Third Proportional to 709,772,990 and 1,553,122,108

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Solution

The third proportional to 709,772,990 and 1,553,122,108 is: 3,398,534,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,772,990 : 1,553,122,108 = 1,553,122,108 : x
  2. Step 2: Convert to fraction form
    709,772,990/1,553,122,108 = 1,553,122,108/x
  3. Step 3: Cross multiply
    709,772,990x = 1,553,122,108 × 1,553,122,108
  4. Step 4: Simplify right side
    709,772,990x = 2,412,188,282,358,363,648
  5. Step 5: Solve for x
    x = 2,412,188,282,358,363,648/709,772,990
  6. Step 6: Final answer
    x = 3,398,534,906.71

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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.