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Finding the Third Proportional to 76,074,560 and 115,566,600

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Solution

The third proportional to 76,074,560 and 115,566,600 is: 175,559,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074,560 : 115,566,600 = 115,566,600 : x
  2. Step 2: Convert to fraction form
    76,074,560/115,566,600 = 115,566,600/x
  3. Step 3: Cross multiply
    76,074,560x = 115,566,600 × 115,566,600
  4. Step 4: Simplify right side
    76,074,560x = 13,355,639,035,560,000
  5. Step 5: Solve for x
    x = 13,355,639,035,560,000/76,074,560
  6. Step 6: Final answer
    x = 175,559,859.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.