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Finding the Third Proportional to 538,437,909 and 1,171,215,711

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Solution

The third proportional to 538,437,909 and 1,171,215,711 is: 2,547,640,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,437,909 : 1,171,215,711 = 1,171,215,711 : x
  2. Step 2: Convert to fraction form
    538,437,909/1,171,215,711 = 1,171,215,711/x
  3. Step 3: Cross multiply
    538,437,909x = 1,171,215,711 × 1,171,215,711
  4. Step 4: Simplify right side
    538,437,909x = 1,371,746,241,693,235,456
  5. Step 5: Solve for x
    x = 1,371,746,241,693,235,456/538,437,909
  6. Step 6: Final answer
    x = 2,547,640,533.41

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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.