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Finding the Third Proportional to 58,486,756 and 126,726,216

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Solution

The third proportional to 58,486,756 and 126,726,216 is: 274,584,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,486,756 : 126,726,216 = 126,726,216 : x
  2. Step 2: Convert to fraction form
    58,486,756/126,726,216 = 126,726,216/x
  3. Step 3: Cross multiply
    58,486,756x = 126,726,216 × 126,726,216
  4. Step 4: Simplify right side
    58,486,756x = 16,059,533,821,678,656
  5. Step 5: Solve for x
    x = 16,059,533,821,678,656/58,486,756
  6. Step 6: Final answer
    x = 274,584,109.63

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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.