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Finding the Third Proportional to 6,872,052 and 13,570,643

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Solution

The third proportional to 6,872,052 and 13,570,643 is: 26,798,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872,052 : 13,570,643 = 13,570,643 : x
  2. Step 2: Convert to fraction form
    6,872,052/13,570,643 = 13,570,643/x
  3. Step 3: Cross multiply
    6,872,052x = 13,570,643 × 13,570,643
  4. Step 4: Simplify right side
    6,872,052x = 184,162,351,433,449
  5. Step 5: Solve for x
    x = 184,162,351,433,449/6,872,052
  6. Step 6: Final answer
    x = 26,798,742.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.