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Finding the Third Proportional to 560,132,034.75 and 822,037,695.75

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Solution

The third proportional to 560,132,034.75 and 822,037,695.75 is: 1,206,404,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,132,034.75 : 822,037,695.75 = 822,037,695.75 : x
  2. Step 2: Convert to fraction form
    560,132,034.75/822,037,695.75 = 822,037,695.75/x
  3. Step 3: Cross multiply
    560,132,034.75x = 822,037,695.75 × 822,037,695.75
  4. Step 4: Simplify right side
    560,132,034.75x = 675,745,973,233,969,536
  5. Step 5: Solve for x
    x = 675,745,973,233,969,536/560,132,034.75
  6. Step 6: Final answer
    x = 1,206,404,796.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.