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Finding the Third Proportional to 36,493,910 and 51,020,637

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Solution

The third proportional to 36,493,910 and 51,020,637 is: 71,329,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493,910 : 51,020,637 = 51,020,637 : x
  2. Step 2: Convert to fraction form
    36,493,910/51,020,637 = 51,020,637/x
  3. Step 3: Cross multiply
    36,493,910x = 51,020,637 × 51,020,637
  4. Step 4: Simplify right side
    36,493,910x = 2,603,105,399,885,769
  5. Step 5: Solve for x
    x = 2,603,105,399,885,769/36,493,910
  6. Step 6: Final answer
    x = 71,329,857.50

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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.