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Finding the Third Proportional to 36,670,013.63 and 77,711,219.25

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Solution

The third proportional to 36,670,013.63 and 77,711,219.25 is: 164,685,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,670,013.63 : 77,711,219.25 = 77,711,219.25 : x
  2. Step 2: Convert to fraction form
    36,670,013.63/77,711,219.25 = 77,711,219.25/x
  3. Step 3: Cross multiply
    36,670,013.63x = 77,711,219.25 × 77,711,219.25
  4. Step 4: Simplify right side
    36,670,013.63x = 6,039,033,597,321,571
  5. Step 5: Solve for x
    x = 6,039,033,597,321,571/36,670,013.63
  6. Step 6: Final answer
    x = 164,685,883.65

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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.