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Finding the Third Proportional to 4,099,543,024,060 and 8,816,053,176,488

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Solution

The third proportional to 4,099,543,024,060 and 8,816,053,176,488 is: 18,958,892,041,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,543,024,060 : 8,816,053,176,488 = 8,816,053,176,488 : x
  2. Step 2: Convert to fraction form
    4,099,543,024,060/8,816,053,176,488 = 8,816,053,176,488/x
  3. Step 3: Cross multiply
    4,099,543,024,060x = 8,816,053,176,488 × 8,816,053,176,488
  4. Step 4: Simplify right side
    4,099,543,024,060x = 77,722,793,610,664,150,355,148,800
  5. Step 5: Solve for x
    x = 77,722,793,610,664,150,355,148,800/4,099,543,024,060
  6. Step 6: Final answer
    x = 18,958,892,041,018.52

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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.