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Finding the Third Proportional to 1,340,827,269 and 2,886,574,737

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Solution

The third proportional to 1,340,827,269 and 2,886,574,737 is: 6,214,308,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,827,269 : 2,886,574,737 = 2,886,574,737 : x
  2. Step 2: Convert to fraction form
    1,340,827,269/2,886,574,737 = 2,886,574,737/x
  3. Step 3: Cross multiply
    1,340,827,269x = 2,886,574,737 × 2,886,574,737
  4. Step 4: Simplify right side
    1,340,827,269x = 8,332,313,712,286,619,648
  5. Step 5: Solve for x
    x = 8,332,313,712,286,619,648/1,340,827,269
  6. Step 6: Final answer
    x = 6,214,308,065.57

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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.