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Finding the Third Proportional to 36,024,348 and 53,083,978

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Solution

The third proportional to 36,024,348 and 53,083,978 is: 78,222,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024,348 : 53,083,978 = 53,083,978 : x
  2. Step 2: Convert to fraction form
    36,024,348/53,083,978 = 53,083,978/x
  3. Step 3: Cross multiply
    36,024,348x = 53,083,978 × 53,083,978
  4. Step 4: Simplify right side
    36,024,348x = 2,817,908,720,304,484
  5. Step 5: Solve for x
    x = 2,817,908,720,304,484/36,024,348
  6. Step 6: Final answer
    x = 78,222,337.86

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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.