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Finding the Third Proportional to 1,654,103,834 and 2,560,916,775

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Solution

The third proportional to 1,654,103,834 and 2,560,916,775 is: 3,964,862,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,103,834 : 2,560,916,775 = 2,560,916,775 : x
  2. Step 2: Convert to fraction form
    1,654,103,834/2,560,916,775 = 2,560,916,775/x
  3. Step 3: Cross multiply
    1,654,103,834x = 2,560,916,775 × 2,560,916,775
  4. Step 4: Simplify right side
    1,654,103,834x = 6,558,294,728,476,400,640
  5. Step 5: Solve for x
    x = 6,558,294,728,476,400,640/1,654,103,834
  6. Step 6: Final answer
    x = 3,964,862,781.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.