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Finding the Third Proportional to 5,188,055.06 and 7,390,480.50

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Solution

The third proportional to 5,188,055.06 and 7,390,480.50 is: 10,527,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188,055.06 : 7,390,480.50 = 7,390,480.50 : x
  2. Step 2: Convert to fraction form
    5,188,055.06/7,390,480.50 = 7,390,480.50/x
  3. Step 3: Cross multiply
    5,188,055.06x = 7,390,480.50 × 7,390,480.50
  4. Step 4: Simplify right side
    5,188,055.06x = 54,619,202,020,880.25
  5. Step 5: Solve for x
    x = 54,619,202,020,880.25/5,188,055.06
  6. Step 6: Final answer
    x = 10,527,876.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.