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Finding the Third Proportional to 2,258,221,678 and 4,891,689,908

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Solution

The third proportional to 2,258,221,678 and 4,891,689,908 is: 10,596,227,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,221,678 : 4,891,689,908 = 4,891,689,908 : x
  2. Step 2: Convert to fraction form
    2,258,221,678/4,891,689,908 = 4,891,689,908/x
  3. Step 3: Cross multiply
    2,258,221,678x = 4,891,689,908 × 4,891,689,908
  4. Step 4: Simplify right side
    2,258,221,678x = 23,928,630,156,029,046,784
  5. Step 5: Solve for x
    x = 23,928,630,156,029,046,784/2,258,221,678
  6. Step 6: Final answer
    x = 10,596,227,283.24

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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.