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Finding the Third Proportional to 6,827,458.50 and 14,666,985

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Solution

The third proportional to 6,827,458.50 and 14,666,985 is: 31,508,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827,458.50 : 14,666,985 = 14,666,985 : x
  2. Step 2: Convert to fraction form
    6,827,458.50/14,666,985 = 14,666,985/x
  3. Step 3: Cross multiply
    6,827,458.50x = 14,666,985 × 14,666,985
  4. Step 4: Simplify right side
    6,827,458.50x = 215,120,448,990,225
  5. Step 5: Solve for x
    x = 215,120,448,990,225/6,827,458.50
  6. Step 6: Final answer
    x = 31,508,129.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.