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Finding the Third Proportional to 2,251,946,248 and 4,842,802,664

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Solution

The third proportional to 2,251,946,248 and 4,842,802,664 is: 10,414,430,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,946,248 : 4,842,802,664 = 4,842,802,664 : x
  2. Step 2: Convert to fraction form
    2,251,946,248/4,842,802,664 = 4,842,802,664/x
  3. Step 3: Cross multiply
    2,251,946,248x = 4,842,802,664 × 4,842,802,664
  4. Step 4: Simplify right side
    2,251,946,248x = 23,452,737,642,445,496,320
  5. Step 5: Solve for x
    x = 23,452,737,642,445,496,320/2,251,946,248
  6. Step 6: Final answer
    x = 10,414,430,479.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.