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Finding the Third Proportional to 513,106,372 and 1,120,265,344

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Solution

The third proportional to 513,106,372 and 1,120,265,344 is: 2,445,875,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,106,372 : 1,120,265,344 = 1,120,265,344 : x
  2. Step 2: Convert to fraction form
    513,106,372/1,120,265,344 = 1,120,265,344/x
  3. Step 3: Cross multiply
    513,106,372x = 1,120,265,344 × 1,120,265,344
  4. Step 4: Simplify right side
    513,106,372x = 1,254,994,440,967,438,336
  5. Step 5: Solve for x
    x = 1,254,994,440,967,438,336/513,106,372
  6. Step 6: Final answer
    x = 2,445,875,766.61

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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.