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Finding the Third Proportional to 6,977,351.25 and 14,799,910.50

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Solution

The third proportional to 6,977,351.25 and 14,799,910.50 is: 31,392,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,351.25 : 14,799,910.50 = 14,799,910.50 : x
  2. Step 2: Convert to fraction form
    6,977,351.25/14,799,910.50 = 14,799,910.50/x
  3. Step 3: Cross multiply
    6,977,351.25x = 14,799,910.50 × 14,799,910.50
  4. Step 4: Simplify right side
    6,977,351.25x = 219,037,350,808,010.25
  5. Step 5: Solve for x
    x = 219,037,350,808,010.25/6,977,351.25
  6. Step 6: Final answer
    x = 31,392,622.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.