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Finding the Third Proportional to 14,157,085.50 and 31,015,296.56

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Solution

The third proportional to 14,157,085.50 and 31,015,296.56 is: 67,948,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157,085.50 : 31,015,296.56 = 31,015,296.56 : x
  2. Step 2: Convert to fraction form
    14,157,085.50/31,015,296.56 = 31,015,296.56/x
  3. Step 3: Cross multiply
    14,157,085.50x = 31,015,296.56 × 31,015,296.56
  4. Step 4: Simplify right side
    14,157,085.50x = 961,948,620,859,824.38
  5. Step 5: Solve for x
    x = 961,948,620,859,824.38/14,157,085.50
  6. Step 6: Final answer
    x = 67,948,210.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.