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Finding the Third Proportional to 7,874,050.50 and 16,376,643

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Solution

The third proportional to 7,874,050.50 and 16,376,643 is: 34,060,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,050.50 : 16,376,643 = 16,376,643 : x
  2. Step 2: Convert to fraction form
    7,874,050.50/16,376,643 = 16,376,643/x
  3. Step 3: Cross multiply
    7,874,050.50x = 16,376,643 × 16,376,643
  4. Step 4: Simplify right side
    7,874,050.50x = 268,194,435,949,449
  5. Step 5: Solve for x
    x = 268,194,435,949,449/7,874,050.50
  6. Step 6: Final answer
    x = 34,060,543.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.