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Finding the Third Proportional to 36,699,116 and 51,433,561

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Solution

The third proportional to 36,699,116 and 51,433,561 is: 72,083,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699,116 : 51,433,561 = 51,433,561 : x
  2. Step 2: Convert to fraction form
    36,699,116/51,433,561 = 51,433,561/x
  3. Step 3: Cross multiply
    36,699,116x = 51,433,561 × 51,433,561
  4. Step 4: Simplify right side
    36,699,116x = 2,645,411,197,140,721
  5. Step 5: Solve for x
    x = 2,645,411,197,140,721/36,699,116
  6. Step 6: Final answer
    x = 72,083,785.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.