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Finding the Third Proportional to 36,795,200 and 77,403,584

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Solution

The third proportional to 36,795,200 and 77,403,584 is: 162,828,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,795,200 : 77,403,584 = 77,403,584 : x
  2. Step 2: Convert to fraction form
    36,795,200/77,403,584 = 77,403,584/x
  3. Step 3: Cross multiply
    36,795,200x = 77,403,584 × 77,403,584
  4. Step 4: Simplify right side
    36,795,200x = 5,991,314,816,045,056
  5. Step 5: Solve for x
    x = 5,991,314,816,045,056/36,795,200
  6. Step 6: Final answer
    x = 162,828,706.35

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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.