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Finding the Third Proportional to 548,225,055 and 1,196,911,116

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Solution

The third proportional to 548,225,055 and 1,196,911,116 is: 2,613,153,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,225,055 : 1,196,911,116 = 1,196,911,116 : x
  2. Step 2: Convert to fraction form
    548,225,055/1,196,911,116 = 1,196,911,116/x
  3. Step 3: Cross multiply
    548,225,055x = 1,196,911,116 × 1,196,911,116
  4. Step 4: Simplify right side
    548,225,055x = 1,432,596,219,604,365,568
  5. Step 5: Solve for x
    x = 1,432,596,219,604,365,568/548,225,055
  6. Step 6: Final answer
    x = 2,613,153,496.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.