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Finding the Third Proportional to 1,340,827,417 and 2,886,575,002

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Solution

The third proportional to 1,340,827,417 and 2,886,575,002 is: 6,214,308,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,827,417 : 2,886,575,002 = 2,886,575,002 : x
  2. Step 2: Convert to fraction form
    1,340,827,417/2,886,575,002 = 2,886,575,002/x
  3. Step 3: Cross multiply
    1,340,827,417x = 2,886,575,002 × 2,886,575,002
  4. Step 4: Simplify right side
    1,340,827,417x = 8,332,315,242,171,299,840
  5. Step 5: Solve for x
    x = 8,332,315,242,171,299,840/1,340,827,417
  6. Step 6: Final answer
    x = 6,214,308,520.64

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