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Finding the Third Proportional to 6,684,063 and 9,904,711.50

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Solution

The third proportional to 6,684,063 and 9,904,711.50 is: 14,677,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,063 : 9,904,711.50 = 9,904,711.50 : x
  2. Step 2: Convert to fraction form
    6,684,063/9,904,711.50 = 9,904,711.50/x
  3. Step 3: Cross multiply
    6,684,063x = 9,904,711.50 × 9,904,711.50
  4. Step 4: Simplify right side
    6,684,063x = 98,103,309,898,232.25
  5. Step 5: Solve for x
    x = 98,103,309,898,232.25/6,684,063
  6. Step 6: Final answer
    x = 14,677,197.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.