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Finding the Third Proportional to 431,787,982.50 and 663,273,676.50

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Solution

The third proportional to 431,787,982.50 and 663,273,676.50 is: 1,018,861,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,787,982.50 : 663,273,676.50 = 663,273,676.50 : x
  2. Step 2: Convert to fraction form
    431,787,982.50/663,273,676.50 = 663,273,676.50/x
  3. Step 3: Cross multiply
    431,787,982.50x = 663,273,676.50 × 663,273,676.50
  4. Step 4: Simplify right side
    431,787,982.50x = 439,931,969,937,826,624
  5. Step 5: Solve for x
    x = 439,931,969,937,826,624/431,787,982.50
  6. Step 6: Final answer
    x = 1,018,861,079.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.