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Finding the Third Proportional to 2,692,622.25 and 5,833,868.06

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Solution

The third proportional to 2,692,622.25 and 5,833,868.06 is: 12,639,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,622.25 : 5,833,868.06 = 5,833,868.06 : x
  2. Step 2: Convert to fraction form
    2,692,622.25/5,833,868.06 = 5,833,868.06/x
  3. Step 3: Cross multiply
    2,692,622.25x = 5,833,868.06 × 5,833,868.06
  4. Step 4: Simplify right side
    2,692,622.25x = 34,034,016,570,657.50
  5. Step 5: Solve for x
    x = 34,034,016,570,657.50/2,692,622.25
  6. Step 6: Final answer
    x = 12,639,729.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.