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Finding the Third Proportional to 846,833,105 and 1,834,383,649

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Solution

The third proportional to 846,833,105 and 1,834,383,649 is: 3,973,585,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,833,105 : 1,834,383,649 = 1,834,383,649 : x
  2. Step 2: Convert to fraction form
    846,833,105/1,834,383,649 = 1,834,383,649/x
  3. Step 3: Cross multiply
    846,833,105x = 1,834,383,649 × 1,834,383,649
  4. Step 4: Simplify right side
    846,833,105x = 3,364,963,371,718,555,136
  5. Step 5: Solve for x
    x = 3,364,963,371,718,555,136/846,833,105
  6. Step 6: Final answer
    x = 3,973,585,056.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.