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Finding the Third Proportional to 1,314,455,224.50 and 2,041,832,937.38

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Solution

The third proportional to 1,314,455,224.50 and 2,041,832,937.38 is: 3,171,718,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,455,224.50 : 2,041,832,937.38 = 2,041,832,937.38 : x
  2. Step 2: Convert to fraction form
    1,314,455,224.50/2,041,832,937.38 = 2,041,832,937.38/x
  3. Step 3: Cross multiply
    1,314,455,224.50x = 2,041,832,937.38 × 2,041,832,937.38
  4. Step 4: Simplify right side
    1,314,455,224.50x = 4,169,081,744,149,420,544
  5. Step 5: Solve for x
    x = 4,169,081,744,149,420,544/1,314,455,224.50
  6. Step 6: Final answer
    x = 3,171,718,341.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.