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Finding the Third Proportional to 36,670,014.13 and 77,711,220.25

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Solution

The third proportional to 36,670,014.13 and 77,711,220.25 is: 164,685,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,670,014.13 : 77,711,220.25 = 77,711,220.25 : x
  2. Step 2: Convert to fraction form
    36,670,014.13/77,711,220.25 = 77,711,220.25/x
  3. Step 3: Cross multiply
    36,670,014.13x = 77,711,220.25 × 77,711,220.25
  4. Step 4: Simplify right side
    36,670,014.13x = 6,039,033,752,744,010
  5. Step 5: Solve for x
    x = 6,039,033,752,744,010/36,670,014.13
  6. Step 6: Final answer
    x = 164,685,885.64

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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.