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Finding the Third Proportional to 6,829,660.13 and 14,627,611.13

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Solution

The third proportional to 6,829,660.13 and 14,627,611.13 is: 31,329,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,660.13 : 14,627,611.13 = 14,627,611.13 : x
  2. Step 2: Convert to fraction form
    6,829,660.13/14,627,611.13 = 14,627,611.13/x
  3. Step 3: Cross multiply
    6,829,660.13x = 14,627,611.13 × 14,627,611.13
  4. Step 4: Simplify right side
    6,829,660.13x = 213,967,007,224,223.75
  5. Step 5: Solve for x
    x = 213,967,007,224,223.75/6,829,660.13
  6. Step 6: Final answer
    x = 31,329,085.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.