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Finding the Third Proportional to 1,340,827,419 and 2,886,575,006

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Solution

The third proportional to 1,340,827,419 and 2,886,575,006 is: 6,214,308,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,827,419 : 2,886,575,006 = 2,886,575,006 : x
  2. Step 2: Convert to fraction form
    1,340,827,419/2,886,575,006 = 2,886,575,006/x
  3. Step 3: Cross multiply
    1,340,827,419x = 2,886,575,006 × 2,886,575,006
  4. Step 4: Simplify right side
    1,340,827,419x = 8,332,315,265,263,899,648
  5. Step 5: Solve for x
    x = 8,332,315,265,263,899,648/1,340,827,419
  6. Step 6: Final answer
    x = 6,214,308,528.59

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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.