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Finding the Third Proportional to 36,669,800 and 77,710,960

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Solution

The third proportional to 36,669,800 and 77,710,960 is: 164,685,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669,800 : 77,710,960 = 77,710,960 : x
  2. Step 2: Convert to fraction form
    36,669,800/77,710,960 = 77,710,960/x
  3. Step 3: Cross multiply
    36,669,800x = 77,710,960 × 77,710,960
  4. Step 4: Simplify right side
    36,669,800x = 6,038,993,304,121,600
  5. Step 5: Solve for x
    x = 6,038,993,304,121,600/36,669,800
  6. Step 6: Final answer
    x = 164,685,744.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.