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Finding the Third Proportional to 2,439,312,596 and 3,291,205,398

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Solution

The third proportional to 2,439,312,596 and 3,291,205,398 is: 4,440,608,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439,312,596 : 3,291,205,398 = 3,291,205,398 : x
  2. Step 2: Convert to fraction form
    2,439,312,596/3,291,205,398 = 3,291,205,398/x
  3. Step 3: Cross multiply
    2,439,312,596x = 3,291,205,398 × 3,291,205,398
  4. Step 4: Simplify right side
    2,439,312,596x = 10,832,032,971,824,338,944
  5. Step 5: Solve for x
    x = 10,832,032,971,824,338,944/2,439,312,596
  6. Step 6: Final answer
    x = 4,440,608,796.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.