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Finding the Third Proportional to 76,997,580 and 171,210,576

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Solution

The third proportional to 76,997,580 and 171,210,576 is: 380,701,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997,580 : 171,210,576 = 171,210,576 : x
  2. Step 2: Convert to fraction form
    76,997,580/171,210,576 = 171,210,576/x
  3. Step 3: Cross multiply
    76,997,580x = 171,210,576 × 171,210,576
  4. Step 4: Simplify right side
    76,997,580x = 29,313,061,334,251,776
  5. Step 5: Solve for x
    x = 29,313,061,334,251,776/76,997,580
  6. Step 6: Final answer
    x = 380,701,073.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.