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Finding the Third Proportional to 3,502,034 and 7,668,369

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Solution

The third proportional to 3,502,034 and 7,668,369 is: 16,791,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502,034 : 7,668,369 = 7,668,369 : x
  2. Step 2: Convert to fraction form
    3,502,034/7,668,369 = 7,668,369/x
  3. Step 3: Cross multiply
    3,502,034x = 7,668,369 × 7,668,369
  4. Step 4: Simplify right side
    3,502,034x = 58,803,883,120,161
  5. Step 5: Solve for x
    x = 58,803,883,120,161/3,502,034
  6. Step 6: Final answer
    x = 16,791,351.29

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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.