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Finding the Third Proportional to 2,258,221,670 and 4,891,689,891

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Solution

The third proportional to 2,258,221,670 and 4,891,689,891 is: 10,596,227,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,221,670 : 4,891,689,891 = 4,891,689,891 : x
  2. Step 2: Convert to fraction form
    2,258,221,670/4,891,689,891 = 4,891,689,891/x
  3. Step 3: Cross multiply
    2,258,221,670x = 4,891,689,891 × 4,891,689,891
  4. Step 4: Simplify right side
    2,258,221,670x = 23,928,629,989,711,593,472
  5. Step 5: Solve for x
    x = 23,928,629,989,711,593,472/2,258,221,670
  6. Step 6: Final answer
    x = 10,596,227,247.13

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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.