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Finding the Third Proportional to 8,078,930 and 17,702,944

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Solution

The third proportional to 8,078,930 and 17,702,944 is: 38,791,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,930 : 17,702,944 = 17,702,944 : x
  2. Step 2: Convert to fraction form
    8,078,930/17,702,944 = 17,702,944/x
  3. Step 3: Cross multiply
    8,078,930x = 17,702,944 × 17,702,944
  4. Step 4: Simplify right side
    8,078,930x = 313,394,226,267,136
  5. Step 5: Solve for x
    x = 313,394,226,267,136/8,078,930
  6. Step 6: Final answer
    x = 38,791,551.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.