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Finding the Third Proportional to 846,833,103 and 1,834,383,645

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Solution

The third proportional to 846,833,103 and 1,834,383,645 is: 3,973,585,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,833,103 : 1,834,383,645 = 1,834,383,645 : x
  2. Step 2: Convert to fraction form
    846,833,103/1,834,383,645 = 1,834,383,645/x
  3. Step 3: Cross multiply
    846,833,103x = 1,834,383,645 × 1,834,383,645
  4. Step 4: Simplify right side
    846,833,103x = 3,364,963,357,043,486,208
  5. Step 5: Solve for x
    x = 3,364,963,357,043,486,208/846,833,103
  6. Step 6: Final answer
    x = 3,973,585,048.96

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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.