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Finding the Third Proportional to 29,844,030 and 65,961,348

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Solution

The third proportional to 29,844,030 and 65,961,348 is: 145,787,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844,030 : 65,961,348 = 65,961,348 : x
  2. Step 2: Convert to fraction form
    29,844,030/65,961,348 = 65,961,348/x
  3. Step 3: Cross multiply
    29,844,030x = 65,961,348 × 65,961,348
  4. Step 4: Simplify right side
    29,844,030x = 4,350,899,429,977,104
  5. Step 5: Solve for x
    x = 4,350,899,429,977,104/29,844,030
  6. Step 6: Final answer
    x = 145,787,932.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.