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Finding the Third Proportional to 259,945,932 and 570,912,792

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Solution

The third proportional to 259,945,932 and 570,912,792 is: 1,253,881,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,945,932 : 570,912,792 = 570,912,792 : x
  2. Step 2: Convert to fraction form
    259,945,932/570,912,792 = 570,912,792/x
  3. Step 3: Cross multiply
    259,945,932x = 570,912,792 × 570,912,792
  4. Step 4: Simplify right side
    259,945,932x = 325,941,416,069,235,264
  5. Step 5: Solve for x
    x = 325,941,416,069,235,264/259,945,932
  6. Step 6: Final answer
    x = 1,253,881,580.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.