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Finding the Third Proportional to 1,102,182,568,734 and 1,532,496,762,234

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Solution

The third proportional to 1,102,182,568,734 and 1,532,496,762,234 is: 2,130,814,252,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,182,568,734 : 1,532,496,762,234 = 1,532,496,762,234 : x
  2. Step 2: Convert to fraction form
    1,102,182,568,734/1,532,496,762,234 = 1,532,496,762,234/x
  3. Step 3: Cross multiply
    1,102,182,568,734x = 1,532,496,762,234 × 1,532,496,762,234
  4. Step 4: Simplify right side
    1,102,182,568,734x = 2,348,546,326,257,693,012,000,768
  5. Step 5: Solve for x
    x = 2,348,546,326,257,693,012,000,768/1,102,182,568,734
  6. Step 6: Final answer
    x = 2,130,814,252,447.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.