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Finding the Third Proportional to 7,089,045.75 and 10,998,082.13

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Solution

The third proportional to 7,089,045.75 and 10,998,082.13 is: 17,062,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089,045.75 : 10,998,082.13 = 10,998,082.13 : x
  2. Step 2: Convert to fraction form
    7,089,045.75/10,998,082.13 = 10,998,082.13/x
  3. Step 3: Cross multiply
    7,089,045.75x = 10,998,082.13 × 10,998,082.13
  4. Step 4: Simplify right side
    7,089,045.75x = 120,957,810,428,244.52
  5. Step 5: Solve for x
    x = 120,957,810,428,244.52/7,089,045.75
  6. Step 6: Final answer
    x = 17,062,636.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.