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Finding the Third Proportional to 76,577,576 and 163,919,320

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Solution

The third proportional to 76,577,576 and 163,919,320 is: 350,880,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577,576 : 163,919,320 = 163,919,320 : x
  2. Step 2: Convert to fraction form
    76,577,576/163,919,320 = 163,919,320/x
  3. Step 3: Cross multiply
    76,577,576x = 163,919,320 × 163,919,320
  4. Step 4: Simplify right side
    76,577,576x = 26,869,543,469,262,400
  5. Step 5: Solve for x
    x = 26,869,543,469,262,400/76,577,576
  6. Step 6: Final answer
    x = 350,880,047.04

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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.