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Finding the Third Proportional to 1,314,455,229 and 2,041,832,944

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Solution

The third proportional to 1,314,455,229 and 2,041,832,944 is: 3,171,718,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,455,229 : 2,041,832,944 = 2,041,832,944 : x
  2. Step 2: Convert to fraction form
    1,314,455,229/2,041,832,944 = 2,041,832,944/x
  3. Step 3: Cross multiply
    1,314,455,229x = 2,041,832,944 × 2,041,832,944
  4. Step 4: Simplify right side
    1,314,455,229x = 4,169,081,771,203,706,880
  5. Step 5: Solve for x
    x = 4,169,081,771,203,706,880/1,314,455,229
  6. Step 6: Final answer
    x = 3,171,718,350.86

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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.