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Finding the Third Proportional to 5,658,458.75 and 8,974,666.88

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Solution

The third proportional to 5,658,458.75 and 8,974,666.88 is: 14,234,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,458.75 : 8,974,666.88 = 8,974,666.88 : x
  2. Step 2: Convert to fraction form
    5,658,458.75/8,974,666.88 = 8,974,666.88/x
  3. Step 3: Cross multiply
    5,658,458.75x = 8,974,666.88 × 8,974,666.88
  4. Step 4: Simplify right side
    5,658,458.75x = 80,544,645,517,222.27
  5. Step 5: Solve for x
    x = 80,544,645,517,222.27/5,658,458.75
  6. Step 6: Final answer
    x = 14,234,378.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.