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Finding the Third Proportional to 397,287,787.50 and 927,948,315.38

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Solution

The third proportional to 397,287,787.50 and 927,948,315.38 is: 2,167,416,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,287,787.50 : 927,948,315.38 = 927,948,315.38 : x
  2. Step 2: Convert to fraction form
    397,287,787.50/927,948,315.38 = 927,948,315.38/x
  3. Step 3: Cross multiply
    397,287,787.50x = 927,948,315.38 × 927,948,315.38
  4. Step 4: Simplify right side
    397,287,787.50x = 861,088,076,007,300,480
  5. Step 5: Solve for x
    x = 861,088,076,007,300,480/397,287,787.50
  6. Step 6: Final answer
    x = 2,167,416,424.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.