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Finding the Third Proportional to 56,246,056,803 and 85,687,715,511

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Solution

The third proportional to 56,246,056,803 and 85,687,715,511 is: 130,540,432,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,246,056,803 : 85,687,715,511 = 85,687,715,511 : x
  2. Step 2: Convert to fraction form
    56,246,056,803/85,687,715,511 = 85,687,715,511/x
  3. Step 3: Cross multiply
    56,246,056,803x = 85,687,715,511 × 85,687,715,511
  4. Step 4: Simplify right side
    56,246,056,803x = 7,342,384,589,494,070,280,192
  5. Step 5: Solve for x
    x = 7,342,384,589,494,070,280,192/56,246,056,803
  6. Step 6: Final answer
    x = 130,540,432,642.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.