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Finding the Third Proportional to 70,576,494 and 152,877,912

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Solution

The third proportional to 70,576,494 and 152,877,912 is: 331,153,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576,494 : 152,877,912 = 152,877,912 : x
  2. Step 2: Convert to fraction form
    70,576,494/152,877,912 = 152,877,912/x
  3. Step 3: Cross multiply
    70,576,494x = 152,877,912 × 152,877,912
  4. Step 4: Simplify right side
    70,576,494x = 23,371,655,977,479,744
  5. Step 5: Solve for x
    x = 23,371,655,977,479,744/70,576,494
  6. Step 6: Final answer
    x = 331,153,542.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.