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Finding the Third Proportional to 2,858,352,804 and 6,191,563,002

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Solution

The third proportional to 2,858,352,804 and 6,191,563,002 is: 13,411,728,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,352,804 : 6,191,563,002 = 6,191,563,002 : x
  2. Step 2: Convert to fraction form
    2,858,352,804/6,191,563,002 = 6,191,563,002/x
  3. Step 3: Cross multiply
    2,858,352,804x = 6,191,563,002 × 6,191,563,002
  4. Step 4: Simplify right side
    2,858,352,804x = 38,335,452,407,735,255,040
  5. Step 5: Solve for x
    x = 38,335,452,407,735,255,040/2,858,352,804
  6. Step 6: Final answer
    x = 13,411,728,725.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.