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Finding the Third Proportional to 4,142,006,468 and 8,898,752,248

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Solution

The third proportional to 4,142,006,468 and 8,898,752,248 is: 19,118,220,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,006,468 : 8,898,752,248 = 8,898,752,248 : x
  2. Step 2: Convert to fraction form
    4,142,006,468/8,898,752,248 = 8,898,752,248/x
  3. Step 3: Cross multiply
    4,142,006,468x = 8,898,752,248 × 8,898,752,248
  4. Step 4: Simplify right side
    4,142,006,468x = 79,187,791,571,285,049,344
  5. Step 5: Solve for x
    x = 79,187,791,571,285,049,344/4,142,006,468
  6. Step 6: Final answer
    x = 19,118,220,162.88

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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.