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Finding the Third Proportional to 18,311,689,894 and 39,272,898,622

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Solution

The third proportional to 18,311,689,894 and 39,272,898,622 is: 84,228,193,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311,689,894 : 39,272,898,622 = 39,272,898,622 : x
  2. Step 2: Convert to fraction form
    18,311,689,894/39,272,898,622 = 39,272,898,622/x
  3. Step 3: Cross multiply
    18,311,689,894x = 39,272,898,622 × 39,272,898,622
  4. Step 4: Simplify right side
    18,311,689,894x = 1,542,360,566,173,889,462,272
  5. Step 5: Solve for x
    x = 1,542,360,566,173,889,462,272/18,311,689,894
  6. Step 6: Final answer
    x = 84,228,193,853.33

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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.