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Finding the Third Proportional to 8,214,024 and 12,769,044

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Solution

The third proportional to 8,214,024 and 12,769,044 is: 19,850,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214,024 : 12,769,044 = 12,769,044 : x
  2. Step 2: Convert to fraction form
    8,214,024/12,769,044 = 12,769,044/x
  3. Step 3: Cross multiply
    8,214,024x = 12,769,044 × 12,769,044
  4. Step 4: Simplify right side
    8,214,024x = 163,048,484,673,936
  5. Step 5: Solve for x
    x = 163,048,484,673,936/8,214,024
  6. Step 6: Final answer
    x = 19,850,013.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.