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Finding the Third Proportional to 268,117,527 and 577,319,986

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Solution

The third proportional to 268,117,527 and 577,319,986 is: 1,243,105,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,117,527 : 577,319,986 = 577,319,986 : x
  2. Step 2: Convert to fraction form
    268,117,527/577,319,986 = 577,319,986/x
  3. Step 3: Cross multiply
    268,117,527x = 577,319,986 × 577,319,986
  4. Step 4: Simplify right side
    268,117,527x = 333,298,366,235,040,192
  5. Step 5: Solve for x
    x = 333,298,366,235,040,192/268,117,527
  6. Step 6: Final answer
    x = 1,243,105,476.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.