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Finding the Third Proportional to 176,288,817,600 and 377,727,550,080

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Solution

The third proportional to 176,288,817,600 and 377,727,550,080 is: 809,342,895,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,288,817,600 : 377,727,550,080 = 377,727,550,080 : x
  2. Step 2: Convert to fraction form
    176,288,817,600/377,727,550,080 = 377,727,550,080/x
  3. Step 3: Cross multiply
    176,288,817,600x = 377,727,550,080 × 377,727,550,080
  4. Step 4: Simplify right side
    176,288,817,600x = 142,678,102,089,438,907,596,800
  5. Step 5: Solve for x
    x = 142,678,102,089,438,907,596,800/176,288,817,600
  6. Step 6: Final answer
    x = 809,342,895,549.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.