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Finding the Third Proportional to 7,164,085,193 and 15,501,644,602

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Solution

The third proportional to 7,164,085,193 and 15,501,644,602 is: 33,542,452,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164,085,193 : 15,501,644,602 = 15,501,644,602 : x
  2. Step 2: Convert to fraction form
    7,164,085,193/15,501,644,602 = 15,501,644,602/x
  3. Step 3: Cross multiply
    7,164,085,193x = 15,501,644,602 × 15,501,644,602
  4. Step 4: Simplify right side
    7,164,085,193x = 240,300,985,366,715,727,872
  5. Step 5: Solve for x
    x = 240,300,985,366,715,727,872/7,164,085,193
  6. Step 6: Final answer
    x = 33,542,452,231.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.