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Finding the Third Proportional to 1,069,344,383 and 1,701,537,092

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Solution

The third proportional to 1,069,344,383 and 1,701,537,092 is: 2,707,479,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,344,383 : 1,701,537,092 = 1,701,537,092 : x
  2. Step 2: Convert to fraction form
    1,069,344,383/1,701,537,092 = 1,701,537,092/x
  3. Step 3: Cross multiply
    1,069,344,383x = 1,701,537,092 × 1,701,537,092
  4. Step 4: Simplify right side
    1,069,344,383x = 2,895,228,475,451,816,448
  5. Step 5: Solve for x
    x = 2,895,228,475,451,816,448/1,069,344,383
  6. Step 6: Final answer
    x = 2,707,479,948.91

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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.