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Finding the Third Proportional to 3,001,681 and 6,563,872

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Solution

The third proportional to 3,001,681 and 6,563,872 is: 14,353,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001,681 : 6,563,872 = 6,563,872 : x
  2. Step 2: Convert to fraction form
    3,001,681/6,563,872 = 6,563,872/x
  3. Step 3: Cross multiply
    3,001,681x = 6,563,872 × 6,563,872
  4. Step 4: Simplify right side
    3,001,681x = 43,084,415,632,384
  5. Step 5: Solve for x
    x = 43,084,415,632,384/3,001,681
  6. Step 6: Final answer
    x = 14,353,429.17

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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.