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Finding the Third Proportional to 4,471,470 and 9,699,156

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Solution

The third proportional to 4,471,470 and 9,699,156 is: 21,038,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471,470 : 9,699,156 = 9,699,156 : x
  2. Step 2: Convert to fraction form
    4,471,470/9,699,156 = 9,699,156/x
  3. Step 3: Cross multiply
    4,471,470x = 9,699,156 × 9,699,156
  4. Step 4: Simplify right side
    4,471,470x = 94,073,627,112,336
  5. Step 5: Solve for x
    x = 94,073,627,112,336/4,471,470
  6. Step 6: Final answer
    x = 21,038,635.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.