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Finding the Third Proportional to 927,417,726 and 2,000,114,034

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Solution

The third proportional to 927,417,726 and 2,000,114,034 is: 4,313,542,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,417,726 : 2,000,114,034 = 2,000,114,034 : x
  2. Step 2: Convert to fraction form
    927,417,726/2,000,114,034 = 2,000,114,034/x
  3. Step 3: Cross multiply
    927,417,726x = 2,000,114,034 × 2,000,114,034
  4. Step 4: Simplify right side
    927,417,726x = 4,000,456,149,003,752,960
  5. Step 5: Solve for x
    x = 4,000,456,149,003,752,960/927,417,726
  6. Step 6: Final answer
    x = 4,313,542,901.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.