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Finding the Third Proportional to 518,069,367.75 and 1,126,909,965.75

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Solution

The third proportional to 518,069,367.75 and 1,126,909,965.75 is: 2,451,266,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,069,367.75 : 1,126,909,965.75 = 1,126,909,965.75 : x
  2. Step 2: Convert to fraction form
    518,069,367.75/1,126,909,965.75 = 1,126,909,965.75/x
  3. Step 3: Cross multiply
    518,069,367.75x = 1,126,909,965.75 × 1,126,909,965.75
  4. Step 4: Simplify right side
    518,069,367.75x = 1,269,926,070,906,666,240
  5. Step 5: Solve for x
    x = 1,269,926,070,906,666,240/518,069,367.75
  6. Step 6: Final answer
    x = 2,451,266,471.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.