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Finding the Third Proportional to 259,360,947 and 569,182,059

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Solution

The third proportional to 259,360,947 and 569,182,059 is: 1,249,101,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,360,947 : 569,182,059 = 569,182,059 : x
  2. Step 2: Convert to fraction form
    259,360,947/569,182,059 = 569,182,059/x
  3. Step 3: Cross multiply
    259,360,947x = 569,182,059 × 569,182,059
  4. Step 4: Simplify right side
    259,360,947x = 323,968,216,287,479,488
  5. Step 5: Solve for x
    x = 323,968,216,287,479,488/259,360,947
  6. Step 6: Final answer
    x = 1,249,101,763.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.