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Finding the Third Proportional to 278,083,702.13 and 420,704,578.69

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Solution

The third proportional to 278,083,702.13 and 420,704,578.69 is: 636,471,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,702.13 : 420,704,578.69 = 420,704,578.69 : x
  2. Step 2: Convert to fraction form
    278,083,702.13/420,704,578.69 = 420,704,578.69/x
  3. Step 3: Cross multiply
    278,083,702.13x = 420,704,578.69 × 420,704,578.69
  4. Step 4: Simplify right side
    278,083,702.13x = 176,992,342,528,626,880
  5. Step 5: Solve for x
    x = 176,992,342,528,626,880/278,083,702.13
  6. Step 6: Final answer
    x = 636,471,469.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.