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Finding the Third Proportional to 846,903,478 and 1,834,505,958

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Solution

The third proportional to 846,903,478 and 1,834,505,958 is: 3,973,784,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,903,478 : 1,834,505,958 = 1,834,505,958 : x
  2. Step 2: Convert to fraction form
    846,903,478/1,834,505,958 = 1,834,505,958/x
  3. Step 3: Cross multiply
    846,903,478x = 1,834,505,958 × 1,834,505,958
  4. Step 4: Simplify right side
    846,903,478x = 3,365,412,109,937,497,600
  5. Step 5: Solve for x
    x = 3,365,412,109,937,497,600/846,903,478
  6. Step 6: Final answer
    x = 3,973,784,731.51

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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.