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Finding the Third Proportional to 2,258,221,642.03 and 4,891,689,837.56

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Solution

The third proportional to 2,258,221,642.03 and 4,891,689,837.56 is: 10,596,227,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,221,642.03 : 4,891,689,837.56 = 4,891,689,837.56 : x
  2. Step 2: Convert to fraction form
    2,258,221,642.03/4,891,689,837.56 = 4,891,689,837.56/x
  3. Step 3: Cross multiply
    2,258,221,642.03x = 4,891,689,837.56 × 4,891,689,837.56
  4. Step 4: Simplify right side
    2,258,221,642.03x = 23,928,629,466,912,239,616
  5. Step 5: Solve for x
    x = 23,928,629,466,912,239,616/2,258,221,642.03
  6. Step 6: Final answer
    x = 10,596,227,146.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.