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Finding the Third Proportional to 235,918,656 and 517,186,944

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Solution

The third proportional to 235,918,656 and 517,186,944 is: 1,133,790,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,918,656 : 517,186,944 = 517,186,944 : x
  2. Step 2: Convert to fraction form
    235,918,656/517,186,944 = 517,186,944/x
  3. Step 3: Cross multiply
    235,918,656x = 517,186,944 × 517,186,944
  4. Step 4: Simplify right side
    235,918,656x = 267,482,335,044,059,136
  5. Step 5: Solve for x
    x = 267,482,335,044,059,136/235,918,656
  6. Step 6: Final answer
    x = 1,133,790,517.37

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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.