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Finding the Third Proportional to 242,571,268 and 527,643,656

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Solution

The third proportional to 242,571,268 and 527,643,656 is: 1,147,736,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571,268 : 527,643,656 = 527,643,656 : x
  2. Step 2: Convert to fraction form
    242,571,268/527,643,656 = 527,643,656/x
  3. Step 3: Cross multiply
    242,571,268x = 527,643,656 × 527,643,656
  4. Step 4: Simplify right side
    242,571,268x = 278,407,827,717,046,336
  5. Step 5: Solve for x
    x = 278,407,827,717,046,336/242,571,268
  6. Step 6: Final answer
    x = 1,147,736,209.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.