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Finding the Third Proportional to 1,734,607,841.62 and 2,642,565,358.69

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Solution

The third proportional to 1,734,607,841.62 and 2,642,565,358.69 is: 4,025,781,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734,607,841.62 : 2,642,565,358.69 = 2,642,565,358.69 : x
  2. Step 2: Convert to fraction form
    1,734,607,841.62/2,642,565,358.69 = 2,642,565,358.69/x
  3. Step 3: Cross multiply
    1,734,607,841.62x = 2,642,565,358.69 × 2,642,565,358.69
  4. Step 4: Simplify right side
    1,734,607,841.62x = 6,983,151,674,934,666,240
  5. Step 5: Solve for x
    x = 6,983,151,674,934,666,240/1,734,607,841.62
  6. Step 6: Final answer
    x = 4,025,781,221.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.