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Finding the Third Proportional to 1,703,728,458 and 2,548,782,065.25

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Solution

The third proportional to 1,703,728,458 and 2,548,782,065.25 is: 3,812,984,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,728,458 : 2,548,782,065.25 = 2,548,782,065.25 : x
  2. Step 2: Convert to fraction form
    1,703,728,458/2,548,782,065.25 = 2,548,782,065.25/x
  3. Step 3: Cross multiply
    1,703,728,458x = 2,548,782,065.25 × 2,548,782,065.25
  4. Step 4: Simplify right side
    1,703,728,458x = 6,496,290,016,140,055,552
  5. Step 5: Solve for x
    x = 6,496,290,016,140,055,552/1,703,728,458
  6. Step 6: Final answer
    x = 3,812,984,390.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.