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Finding the Third Proportional to 1,315,964,583 and 2,890,224,315

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Solution

The third proportional to 1,315,964,583 and 2,890,224,315 is: 6,347,736,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,964,583 : 2,890,224,315 = 2,890,224,315 : x
  2. Step 2: Convert to fraction form
    1,315,964,583/2,890,224,315 = 2,890,224,315/x
  3. Step 3: Cross multiply
    1,315,964,583x = 2,890,224,315 × 2,890,224,315
  4. Step 4: Simplify right side
    1,315,964,583x = 8,353,396,591,017,219,072
  5. Step 5: Solve for x
    x = 8,353,396,591,017,219,072/1,315,964,583
  6. Step 6: Final answer
    x = 6,347,736,632.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.