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Finding the Third Proportional to 846,903,431.25 and 1,834,505,867.25

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Solution

The third proportional to 846,903,431.25 and 1,834,505,867.25 is: 3,973,784,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,903,431.25 : 1,834,505,867.25 = 1,834,505,867.25 : x
  2. Step 2: Convert to fraction form
    846,903,431.25/1,834,505,867.25 = 1,834,505,867.25/x
  3. Step 3: Cross multiply
    846,903,431.25x = 1,834,505,867.25 × 1,834,505,867.25
  4. Step 4: Simplify right side
    846,903,431.25x = 3,365,411,776,974,674,432
  5. Step 5: Solve for x
    x = 3,365,411,776,974,674,432/846,903,431.25
  6. Step 6: Final answer
    x = 3,973,784,557.71

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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.