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Finding the Third Proportional to 1,069,344,944 and 1,701,538,068

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Solution

The third proportional to 1,069,344,944 and 1,701,538,068 is: 2,707,481,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,344,944 : 1,701,538,068 = 1,701,538,068 : x
  2. Step 2: Convert to fraction form
    1,069,344,944/1,701,538,068 = 1,701,538,068/x
  3. Step 3: Cross multiply
    1,069,344,944x = 1,701,538,068 × 1,701,538,068
  4. Step 4: Simplify right side
    1,069,344,944x = 2,895,231,796,853,172,736
  5. Step 5: Solve for x
    x = 2,895,231,796,853,172,736/1,069,344,944
  6. Step 6: Final answer
    x = 2,707,481,634.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.