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Finding the Third Proportional to 1,102,182,568,788 and 1,532,496,762,315

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Solution

The third proportional to 1,102,182,568,788 and 1,532,496,762,315 is: 2,130,814,252,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,182,568,788 : 1,532,496,762,315 = 1,532,496,762,315 : x
  2. Step 2: Convert to fraction form
    1,102,182,568,788/1,532,496,762,315 = 1,532,496,762,315/x
  3. Step 3: Cross multiply
    1,102,182,568,788x = 1,532,496,762,315 × 1,532,496,762,315
  4. Step 4: Simplify right side
    1,102,182,568,788x = 2,348,546,326,505,957,690,966,016
  5. Step 5: Solve for x
    x = 2,348,546,326,505,957,690,966,016/1,102,182,568,788
  6. Step 6: Final answer
    x = 2,130,814,252,568.43

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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.