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Finding the Third Proportional to 9,770,873 and 14,371,980

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Solution

The third proportional to 9,770,873 and 14,371,980 is: 21,139,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,873 : 14,371,980 = 14,371,980 : x
  2. Step 2: Convert to fraction form
    9,770,873/14,371,980 = 14,371,980/x
  3. Step 3: Cross multiply
    9,770,873x = 14,371,980 × 14,371,980
  4. Step 4: Simplify right side
    9,770,873x = 206,553,809,120,400
  5. Step 5: Solve for x
    x = 206,553,809,120,400/9,770,873
  6. Step 6: Final answer
    x = 21,139,749.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.