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Finding the Third Proportional to 18,311,689,893 and 39,272,898,619

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Solution

The third proportional to 18,311,689,893 and 39,272,898,619 is: 84,228,193,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311,689,893 : 39,272,898,619 = 39,272,898,619 : x
  2. Step 2: Convert to fraction form
    18,311,689,893/39,272,898,619 = 39,272,898,619/x
  3. Step 3: Cross multiply
    18,311,689,893x = 39,272,898,619 × 39,272,898,619
  4. Step 4: Simplify right side
    18,311,689,893x = 1,542,360,565,938,252,152,832
  5. Step 5: Solve for x
    x = 1,542,360,565,938,252,152,832/18,311,689,893
  6. Step 6: Final answer
    x = 84,228,193,845.06

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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.