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Finding the Third Proportional to 1,064,137,658 and 2,486,305,727

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Solution

The third proportional to 1,064,137,658 and 2,486,305,727 is: 5,809,132,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,137,658 : 2,486,305,727 = 2,486,305,727 : x
  2. Step 2: Convert to fraction form
    1,064,137,658/2,486,305,727 = 2,486,305,727/x
  3. Step 3: Cross multiply
    1,064,137,658x = 2,486,305,727 × 2,486,305,727
  4. Step 4: Simplify right side
    1,064,137,658x = 6,181,716,168,112,998,400
  5. Step 5: Solve for x
    x = 6,181,716,168,112,998,400/1,064,137,658
  6. Step 6: Final answer
    x = 5,809,132,043.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.