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Finding the Third Proportional to 263,189,068 and 570,265,418

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Solution

The third proportional to 263,189,068 and 570,265,418 is: 1,235,623,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,189,068 : 570,265,418 = 570,265,418 : x
  2. Step 2: Convert to fraction form
    263,189,068/570,265,418 = 570,265,418/x
  3. Step 3: Cross multiply
    263,189,068x = 570,265,418 × 570,265,418
  4. Step 4: Simplify right side
    263,189,068x = 325,202,646,966,714,752
  5. Step 5: Solve for x
    x = 325,202,646,966,714,752/263,189,068
  6. Step 6: Final answer
    x = 1,235,623,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.