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Finding the Third Proportional to 182,413,551 and 401,309,454

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Solution

The third proportional to 182,413,551 and 401,309,454 is: 882,880,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,413,551 : 401,309,454 = 401,309,454 : x
  2. Step 2: Convert to fraction form
    182,413,551/401,309,454 = 401,309,454/x
  3. Step 3: Cross multiply
    182,413,551x = 401,309,454 × 401,309,454
  4. Step 4: Simplify right side
    182,413,551x = 161,049,277,869,778,112
  5. Step 5: Solve for x
    x = 161,049,277,869,778,112/182,413,551
  6. Step 6: Final answer
    x = 882,880,010.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.