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Finding the Third Proportional to 513,106,366 and 1,120,265,334

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Solution

The third proportional to 513,106,366 and 1,120,265,334 is: 2,445,875,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,106,366 : 1,120,265,334 = 1,120,265,334 : x
  2. Step 2: Convert to fraction form
    513,106,366/1,120,265,334 = 1,120,265,334/x
  3. Step 3: Cross multiply
    513,106,366x = 1,120,265,334 × 1,120,265,334
  4. Step 4: Simplify right side
    513,106,366x = 1,254,994,418,562,131,456
  5. Step 5: Solve for x
    x = 1,254,994,418,562,131,456/513,106,366
  6. Step 6: Final answer
    x = 2,445,875,751.54

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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.