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Finding the Third Proportional to 5,921,616.38 and 8,946,941.06

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Solution

The third proportional to 5,921,616.38 and 8,946,941.06 is: 13,517,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,616.38 : 8,946,941.06 = 8,946,941.06 : x
  2. Step 2: Convert to fraction form
    5,921,616.38/8,946,941.06 = 8,946,941.06/x
  3. Step 3: Cross multiply
    5,921,616.38x = 8,946,941.06 × 8,946,941.06
  4. Step 4: Simplify right side
    5,921,616.38x = 80,047,754,375,848.62
  5. Step 5: Solve for x
    x = 80,047,754,375,848.62/5,921,616.38
  6. Step 6: Final answer
    x = 13,517,889.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.