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Finding the Third Proportional to 7,164,085,183 and 15,501,644,581

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Solution

The third proportional to 7,164,085,183 and 15,501,644,581 is: 33,542,452,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164,085,183 : 15,501,644,581 = 15,501,644,581 : x
  2. Step 2: Convert to fraction form
    7,164,085,183/15,501,644,581 = 15,501,644,581/x
  3. Step 3: Cross multiply
    7,164,085,183x = 15,501,644,581 × 15,501,644,581
  4. Step 4: Simplify right side
    7,164,085,183x = 240,300,984,715,646,664,704
  5. Step 5: Solve for x
    x = 240,300,984,715,646,664,704/7,164,085,183
  6. Step 6: Final answer
    x = 33,542,452,187.18

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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.