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Finding the Third Proportional to 963,679,024.25 and 1,300,229,257.75

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Solution

The third proportional to 963,679,024.25 and 1,300,229,257.75 is: 1,754,314,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,679,024.25 : 1,300,229,257.75 = 1,300,229,257.75 : x
  2. Step 2: Convert to fraction form
    963,679,024.25/1,300,229,257.75 = 1,300,229,257.75/x
  3. Step 3: Cross multiply
    963,679,024.25x = 1,300,229,257.75 × 1,300,229,257.75
  4. Step 4: Simplify right side
    963,679,024.25x = 1,690,596,122,709,115,904
  5. Step 5: Solve for x
    x = 1,690,596,122,709,115,904/963,679,024.25
  6. Step 6: Final answer
    x = 1,754,314,538.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.