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Finding the Third Proportional to 548,110,894.50 and 1,293,486,072.19

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Solution

The third proportional to 548,110,894.50 and 1,293,486,072.19 is: 3,052,495,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,110,894.50 : 1,293,486,072.19 = 1,293,486,072.19 : x
  2. Step 2: Convert to fraction form
    548,110,894.50/1,293,486,072.19 = 1,293,486,072.19/x
  3. Step 3: Cross multiply
    548,110,894.50x = 1,293,486,072.19 × 1,293,486,072.19
  4. Step 4: Simplify right side
    548,110,894.50x = 1,673,106,218,943,046,400
  5. Step 5: Solve for x
    x = 1,673,106,218,943,046,400/548,110,894.50
  6. Step 6: Final answer
    x = 3,052,495,828.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.