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Finding the Third Proportional to 40,820,194,288.50 and 63,894,752,998.50

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Solution

The third proportional to 40,820,194,288.50 and 63,894,752,998.50 is: 100,012,739,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820,194,288.50 : 63,894,752,998.50 = 63,894,752,998.50 : x
  2. Step 2: Convert to fraction form
    40,820,194,288.50/63,894,752,998.50 = 63,894,752,998.50/x
  3. Step 3: Cross multiply
    40,820,194,288.50x = 63,894,752,998.50 × 63,894,752,998.50
  4. Step 4: Simplify right side
    40,820,194,288.50x = 4,082,539,460,739,324,706,816
  5. Step 5: Solve for x
    x = 4,082,539,460,739,324,706,816/40,820,194,288.50
  6. Step 6: Final answer
    x = 100,012,739,574.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.