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Finding the Third Proportional to 36,806,416 and 77,420,424

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Solution

The third proportional to 36,806,416 and 77,420,424 is: 162,849,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806,416 : 77,420,424 = 77,420,424 : x
  2. Step 2: Convert to fraction form
    36,806,416/77,420,424 = 77,420,424/x
  3. Step 3: Cross multiply
    36,806,416x = 77,420,424 × 77,420,424
  4. Step 4: Simplify right side
    36,806,416x = 5,993,922,052,339,776
  5. Step 5: Solve for x
    x = 5,993,922,052,339,776/36,806,416
  6. Step 6: Final answer
    x = 162,849,924.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.