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Finding the Third Proportional to 891,521,498 and 1,873,286,068

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Solution

The third proportional to 891,521,498 and 1,873,286,068 is: 3,936,193,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,521,498 : 1,873,286,068 = 1,873,286,068 : x
  2. Step 2: Convert to fraction form
    891,521,498/1,873,286,068 = 1,873,286,068/x
  3. Step 3: Cross multiply
    891,521,498x = 1,873,286,068 × 1,873,286,068
  4. Step 4: Simplify right side
    891,521,498x = 3,509,200,692,562,900,480
  5. Step 5: Solve for x
    x = 3,509,200,692,562,900,480/891,521,498
  6. Step 6: Final answer
    x = 3,936,193,014.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.