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Finding the Third Proportional to 29,228,072 and 40,862,564

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Solution

The third proportional to 29,228,072 and 40,862,564 is: 57,128,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,228,072 : 40,862,564 = 40,862,564 : x
  2. Step 2: Convert to fraction form
    29,228,072/40,862,564 = 40,862,564/x
  3. Step 3: Cross multiply
    29,228,072x = 40,862,564 × 40,862,564
  4. Step 4: Simplify right side
    29,228,072x = 1,669,749,136,654,096
  5. Step 5: Solve for x
    x = 1,669,749,136,654,096/29,228,072
  6. Step 6: Final answer
    x = 57,128,268.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.