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Finding the Third Proportional to 1,207,292,998 and 2,586,694,156

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Solution

The third proportional to 1,207,292,998 and 2,586,694,156 is: 5,542,139,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,292,998 : 2,586,694,156 = 2,586,694,156 : x
  2. Step 2: Convert to fraction form
    1,207,292,998/2,586,694,156 = 2,586,694,156/x
  3. Step 3: Cross multiply
    1,207,292,998x = 2,586,694,156 × 2,586,694,156
  4. Step 4: Simplify right side
    1,207,292,998x = 6,690,986,656,684,552,192
  5. Step 5: Solve for x
    x = 6,690,986,656,684,552,192/1,207,292,998
  6. Step 6: Final answer
    x = 5,542,139,868.09

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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.