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Finding the Third Proportional to 751,921,359 and 1,149,493,972.50

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Solution

The third proportional to 751,921,359 and 1,149,493,972.50 is: 1,757,280,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,921,359 : 1,149,493,972.50 = 1,149,493,972.50 : x
  2. Step 2: Convert to fraction form
    751,921,359/1,149,493,972.50 = 1,149,493,972.50/x
  3. Step 3: Cross multiply
    751,921,359x = 1,149,493,972.50 × 1,149,493,972.50
  4. Step 4: Simplify right side
    751,921,359x = 1,321,336,392,813,830,656
  5. Step 5: Solve for x
    x = 1,321,336,392,813,830,656/751,921,359
  6. Step 6: Final answer
    x = 1,757,280,036.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.