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Finding the Third Proportional to 18,644,013,218 and 39,947,357,188

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Solution

The third proportional to 18,644,013,218 and 39,947,357,188 is: 85,592,695,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644,013,218 : 39,947,357,188 = 39,947,357,188 : x
  2. Step 2: Convert to fraction form
    18,644,013,218/39,947,357,188 = 39,947,357,188/x
  3. Step 3: Cross multiply
    18,644,013,218x = 39,947,357,188 × 39,947,357,188
  4. Step 4: Simplify right side
    18,644,013,218x = 1,595,791,346,305,655,373,824
  5. Step 5: Solve for x
    x = 1,595,791,346,305,655,373,824/18,644,013,218
  6. Step 6: Final answer
    x = 85,592,695,502.11

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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.