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Finding the Third Proportional to 2,258,221,346 and 4,891,689,244

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Solution

The third proportional to 2,258,221,346 and 4,891,689,244 is: 10,596,225,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,221,346 : 4,891,689,244 = 4,891,689,244 : x
  2. Step 2: Convert to fraction form
    2,258,221,346/4,891,689,244 = 4,891,689,244/x
  3. Step 3: Cross multiply
    2,258,221,346x = 4,891,689,244 × 4,891,689,244
  4. Step 4: Simplify right side
    2,258,221,346x = 23,928,623,659,865,292,800
  5. Step 5: Solve for x
    x = 23,928,623,659,865,292,800/2,258,221,346
  6. Step 6: Final answer
    x = 10,596,225,964.41

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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.