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Finding the Third Proportional to 36,024,344 and 53,083,972

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Solution

The third proportional to 36,024,344 and 53,083,972 is: 78,222,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024,344 : 53,083,972 = 53,083,972 : x
  2. Step 2: Convert to fraction form
    36,024,344/53,083,972 = 53,083,972/x
  3. Step 3: Cross multiply
    36,024,344x = 53,083,972 × 53,083,972
  4. Step 4: Simplify right side
    36,024,344x = 2,817,908,083,296,784
  5. Step 5: Solve for x
    x = 2,817,908,083,296,784/36,024,344
  6. Step 6: Final answer
    x = 78,222,328.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.