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Finding the Third Proportional to 20,786,564,862 and 48,503,660,859

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Solution

The third proportional to 20,786,564,862 and 48,503,660,859 is: 113,179,119,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786,564,862 : 48,503,660,859 = 48,503,660,859 : x
  2. Step 2: Convert to fraction form
    20,786,564,862/48,503,660,859 = 48,503,660,859/x
  3. Step 3: Cross multiply
    20,786,564,862x = 48,503,660,859 × 48,503,660,859
  4. Step 4: Simplify right side
    20,786,564,862x = 2,352,605,116,724,888,731,648
  5. Step 5: Solve for x
    x = 2,352,605,116,724,888,731,648/20,786,564,862
  6. Step 6: Final answer
    x = 113,179,119,895.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.