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Finding the Third Proportional to 1,216,251,954 and 2,655,443,408

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Solution

The third proportional to 1,216,251,954 and 2,655,443,408 is: 5,797,630,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,251,954 : 2,655,443,408 = 2,655,443,408 : x
  2. Step 2: Convert to fraction form
    1,216,251,954/2,655,443,408 = 2,655,443,408/x
  3. Step 3: Cross multiply
    1,216,251,954x = 2,655,443,408 × 2,655,443,408
  4. Step 4: Simplify right side
    1,216,251,954x = 7,051,379,693,090,654,208
  5. Step 5: Solve for x
    x = 7,051,379,693,090,654,208/1,216,251,954
  6. Step 6: Final answer
    x = 5,797,630,721.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.