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Finding the Third Proportional to 47,024,769 and 72,633,897

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Solution

The third proportional to 47,024,769 and 72,633,897 is: 112,189,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,024,769 : 72,633,897 = 72,633,897 : x
  2. Step 2: Convert to fraction form
    47,024,769/72,633,897 = 72,633,897/x
  3. Step 3: Cross multiply
    47,024,769x = 72,633,897 × 72,633,897
  4. Step 4: Simplify right side
    47,024,769x = 5,275,682,993,406,609
  5. Step 5: Solve for x
    x = 5,275,682,993,406,609/47,024,769
  6. Step 6: Final answer
    x = 112,189,450.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.