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Finding the Third Proportional to 1,442,766,426 and 3,151,164,738

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Solution

The third proportional to 1,442,766,426 and 3,151,164,738 is: 6,882,499,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,766,426 : 3,151,164,738 = 3,151,164,738 : x
  2. Step 2: Convert to fraction form
    1,442,766,426/3,151,164,738 = 3,151,164,738/x
  3. Step 3: Cross multiply
    1,442,766,426x = 3,151,164,738 × 3,151,164,738
  4. Step 4: Simplify right side
    1,442,766,426x = 9,929,839,206,014,609,408
  5. Step 5: Solve for x
    x = 9,929,839,206,014,609,408/1,442,766,426
  6. Step 6: Final answer
    x = 6,882,499,500.31

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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.