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Finding the Third Proportional to 1,654,103,832 and 2,560,916,772

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Solution

The third proportional to 1,654,103,832 and 2,560,916,772 is: 3,964,862,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,103,832 : 2,560,916,772 = 2,560,916,772 : x
  2. Step 2: Convert to fraction form
    1,654,103,832/2,560,916,772 = 2,560,916,772/x
  3. Step 3: Cross multiply
    1,654,103,832x = 2,560,916,772 × 2,560,916,772
  4. Step 4: Simplify right side
    1,654,103,832x = 6,558,294,713,110,899,712
  5. Step 5: Solve for x
    x = 6,558,294,713,110,899,712/1,654,103,832
  6. Step 6: Final answer
    x = 3,964,862,777.19

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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.