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Finding the Third Proportional to 740,147,524 and 1,645,736,254

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Solution

The third proportional to 740,147,524 and 1,645,736,254 is: 3,659,335,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,147,524 : 1,645,736,254 = 1,645,736,254 : x
  2. Step 2: Convert to fraction form
    740,147,524/1,645,736,254 = 1,645,736,254/x
  3. Step 3: Cross multiply
    740,147,524x = 1,645,736,254 × 1,645,736,254
  4. Step 4: Simplify right side
    740,147,524x = 2,708,447,817,729,952,768
  5. Step 5: Solve for x
    x = 2,708,447,817,729,952,768/740,147,524
  6. Step 6: Final answer
    x = 3,659,335,105.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.