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Finding the Third Proportional to 5,480,266.50 and 7,661,734.50

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Solution

The third proportional to 5,480,266.50 and 7,661,734.50 is: 10,711,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480,266.50 : 7,661,734.50 = 7,661,734.50 : x
  2. Step 2: Convert to fraction form
    5,480,266.50/7,661,734.50 = 7,661,734.50/x
  3. Step 3: Cross multiply
    5,480,266.50x = 7,661,734.50 × 7,661,734.50
  4. Step 4: Simplify right side
    5,480,266.50x = 58,702,175,548,490.25
  5. Step 5: Solve for x
    x = 58,702,175,548,490.25/5,480,266.50
  6. Step 6: Final answer
    x = 10,711,554.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.