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Finding the Third Proportional to 45,112,420 and 67,682,454

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Solution

The third proportional to 45,112,420 and 67,682,454 is: 101,544,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,112,420 : 67,682,454 = 67,682,454 : x
  2. Step 2: Convert to fraction form
    45,112,420/67,682,454 = 67,682,454/x
  3. Step 3: Cross multiply
    45,112,420x = 67,682,454 × 67,682,454
  4. Step 4: Simplify right side
    45,112,420x = 4,580,914,579,462,116
  5. Step 5: Solve for x
    x = 4,580,914,579,462,116/45,112,420
  6. Step 6: Final answer
    x = 101,544,421.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.