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Finding the Third Proportional to 846,833,025 and 1,834,383,507

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Solution

The third proportional to 846,833,025 and 1,834,383,507 is: 3,973,584,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,833,025 : 1,834,383,507 = 1,834,383,507 : x
  2. Step 2: Convert to fraction form
    846,833,025/1,834,383,507 = 1,834,383,507/x
  3. Step 3: Cross multiply
    846,833,025x = 1,834,383,507 × 1,834,383,507
  4. Step 4: Simplify right side
    846,833,025x = 3,364,962,850,753,618,944
  5. Step 5: Solve for x
    x = 3,364,962,850,753,618,944/846,833,025
  6. Step 6: Final answer
    x = 3,973,584,817.09

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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.