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Finding the Third Proportional to 31,588,146 and 68,989,576.50

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Solution

The third proportional to 31,588,146 and 68,989,576.50 is: 150,675,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588,146 : 68,989,576.50 = 68,989,576.50 : x
  2. Step 2: Convert to fraction form
    31,588,146/68,989,576.50 = 68,989,576.50/x
  3. Step 3: Cross multiply
    31,588,146x = 68,989,576.50 × 68,989,576.50
  4. Step 4: Simplify right side
    31,588,146x = 4,759,561,665,649,352
  5. Step 5: Solve for x
    x = 4,759,561,665,649,352/31,588,146
  6. Step 6: Final answer
    x = 150,675,562.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.