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Finding the Third Proportional to 7,750,768 and 18,103,530

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Solution

The third proportional to 7,750,768 and 18,103,530 is: 42,284,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,768 : 18,103,530 = 18,103,530 : x
  2. Step 2: Convert to fraction form
    7,750,768/18,103,530 = 18,103,530/x
  3. Step 3: Cross multiply
    7,750,768x = 18,103,530 × 18,103,530
  4. Step 4: Simplify right side
    7,750,768x = 327,737,798,460,900
  5. Step 5: Solve for x
    x = 327,737,798,460,900/7,750,768
  6. Step 6: Final answer
    x = 42,284,557.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.