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Finding the Third Proportional to 683,111,438 and 1,469,970,268

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Solution

The third proportional to 683,111,438 and 1,469,970,268 is: 3,163,191,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,111,438 : 1,469,970,268 = 1,469,970,268 : x
  2. Step 2: Convert to fraction form
    683,111,438/1,469,970,268 = 1,469,970,268/x
  3. Step 3: Cross multiply
    683,111,438x = 1,469,970,268 × 1,469,970,268
  4. Step 4: Simplify right side
    683,111,438x = 2,160,812,588,803,991,808
  5. Step 5: Solve for x
    x = 2,160,812,588,803,991,808/683,111,438
  6. Step 6: Final answer
    x = 3,163,191,931.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.