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Finding the Third Proportional to 6,993,287.91 and 14,711,265.84

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Solution

The third proportional to 6,993,287.91 and 14,711,265.84 is: 30,947,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993,287.91 : 14,711,265.84 = 14,711,265.84 : x
  2. Step 2: Convert to fraction form
    6,993,287.91/14,711,265.84 = 14,711,265.84/x
  3. Step 3: Cross multiply
    6,993,287.91x = 14,711,265.84 × 14,711,265.84
  4. Step 4: Simplify right side
    6,993,287.91x = 216,421,342,725,485.41
  5. Step 5: Solve for x
    x = 216,421,342,725,485.41/6,993,287.91
  6. Step 6: Final answer
    x = 30,947,008.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.