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Finding the Third Proportional to 36,024,347 and 53,083,976.50

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Solution

The third proportional to 36,024,347 and 53,083,976.50 is: 78,222,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024,347 : 53,083,976.50 = 53,083,976.50 : x
  2. Step 2: Convert to fraction form
    36,024,347/53,083,976.50 = 53,083,976.50/x
  3. Step 3: Cross multiply
    36,024,347x = 53,083,976.50 × 53,083,976.50
  4. Step 4: Simplify right side
    36,024,347x = 2,817,908,561,052,552
  5. Step 5: Solve for x
    x = 2,817,908,561,052,552/36,024,347
  6. Step 6: Final answer
    x = 78,222,335.61

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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.