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Finding the Third Proportional to 4,464,471 and 9,690,018

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Solution

The third proportional to 4,464,471 and 9,690,018 is: 21,031,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,471 : 9,690,018 = 9,690,018 : x
  2. Step 2: Convert to fraction form
    4,464,471/9,690,018 = 9,690,018/x
  3. Step 3: Cross multiply
    4,464,471x = 9,690,018 × 9,690,018
  4. Step 4: Simplify right side
    4,464,471x = 93,896,448,840,324
  5. Step 5: Solve for x
    x = 93,896,448,840,324/4,464,471
  6. Step 6: Final answer
    x = 21,031,931.63

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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.