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Finding the Third Proportional to 474,715,678,793.78 and 1,018,344,095,005.40

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Solution

The third proportional to 474,715,678,793.78 and 1,018,344,095,005.40 is: 2,184,517,474,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,715,678,793.78 : 1,018,344,095,005.40 = 1,018,344,095,005.40 : x
  2. Step 2: Convert to fraction form
    474,715,678,793.78/1,018,344,095,005.40 = 1,018,344,095,005.40/x
  3. Step 3: Cross multiply
    474,715,678,793.78x = 1,018,344,095,005.40 × 1,018,344,095,005.40
  4. Step 4: Simplify right side
    474,715,678,793.78x = 1,037,024,695,832,367,239,004,160
  5. Step 5: Solve for x
    x = 1,037,024,695,832,367,239,004,160/474,715,678,793.78
  6. Step 6: Final answer
    x = 2,184,517,474,685.85

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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.