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Finding the Third Proportional to 18,311,689,898 and 39,272,898,630

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Solution

The third proportional to 18,311,689,898 and 39,272,898,630 is: 84,228,193,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311,689,898 : 39,272,898,630 = 39,272,898,630 : x
  2. Step 2: Convert to fraction form
    18,311,689,898/39,272,898,630 = 39,272,898,630/x
  3. Step 3: Cross multiply
    18,311,689,898x = 39,272,898,630 × 39,272,898,630
  4. Step 4: Simplify right side
    18,311,689,898x = 1,542,360,566,802,255,970,304
  5. Step 5: Solve for x
    x = 1,542,360,566,802,255,970,304/18,311,689,898
  6. Step 6: Final answer
    x = 84,228,193,869.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.