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Finding the Third Proportional to 424,895,201.50 and 914,360,475.50

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Solution

The third proportional to 424,895,201.50 and 914,360,475.50 is: 1,967,673,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,895,201.50 : 914,360,475.50 = 914,360,475.50 : x
  2. Step 2: Convert to fraction form
    424,895,201.50/914,360,475.50 = 914,360,475.50/x
  3. Step 3: Cross multiply
    424,895,201.50x = 914,360,475.50 × 914,360,475.50
  4. Step 4: Simplify right side
    424,895,201.50x = 836,055,079,156,586,112
  5. Step 5: Solve for x
    x = 836,055,079,156,586,112/424,895,201.50
  6. Step 6: Final answer
    x = 1,967,673,619.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.