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Finding the Third Proportional to 67,027,483 and 144,636,014.75

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Solution

The third proportional to 67,027,483 and 144,636,014.75 is: 312,104,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,027,483 : 144,636,014.75 = 144,636,014.75 : x
  2. Step 2: Convert to fraction form
    67,027,483/144,636,014.75 = 144,636,014.75/x
  3. Step 3: Cross multiply
    67,027,483x = 144,636,014.75 × 144,636,014.75
  4. Step 4: Simplify right side
    67,027,483x = 20,919,576,762,762,216
  5. Step 5: Solve for x
    x = 20,919,576,762,762,216/67,027,483
  6. Step 6: Final answer
    x = 312,104,465.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.