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Finding the Third Proportional to 683,867,709 and 1,612,750,086

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Solution

The third proportional to 683,867,709 and 1,612,750,086 is: 3,803,312,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,867,709 : 1,612,750,086 = 1,612,750,086 : x
  2. Step 2: Convert to fraction form
    683,867,709/1,612,750,086 = 1,612,750,086/x
  3. Step 3: Cross multiply
    683,867,709x = 1,612,750,086 × 1,612,750,086
  4. Step 4: Simplify right side
    683,867,709x = 2,600,962,839,893,007,360
  5. Step 5: Solve for x
    x = 2,600,962,839,893,007,360/683,867,709
  6. Step 6: Final answer
    x = 3,803,312,842.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.