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Finding the Third Proportional to 3,668,172,050 and 7,750,372,900

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Solution

The third proportional to 3,668,172,050 and 7,750,372,900 is: 16,375,535,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,172,050 : 7,750,372,900 = 7,750,372,900 : x
  2. Step 2: Convert to fraction form
    3,668,172,050/7,750,372,900 = 7,750,372,900/x
  3. Step 3: Cross multiply
    3,668,172,050x = 7,750,372,900 × 7,750,372,900
  4. Step 4: Simplify right side
    3,668,172,050x = 60,068,280,089,054,412,800
  5. Step 5: Solve for x
    x = 60,068,280,089,054,412,800/3,668,172,050
  6. Step 6: Final answer
    x = 16,375,535,081.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.