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Finding the Third Proportional to 1,207,292,996 and 2,586,694,152

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Solution

The third proportional to 1,207,292,996 and 2,586,694,152 is: 5,542,139,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,292,996 : 2,586,694,152 = 2,586,694,152 : x
  2. Step 2: Convert to fraction form
    1,207,292,996/2,586,694,152 = 2,586,694,152/x
  3. Step 3: Cross multiply
    1,207,292,996x = 2,586,694,152 × 2,586,694,152
  4. Step 4: Simplify right side
    1,207,292,996x = 6,690,986,635,990,999,040
  5. Step 5: Solve for x
    x = 6,690,986,635,990,999,040/1,207,292,996
  6. Step 6: Final answer
    x = 5,542,139,860.13

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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.