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Finding the Third Proportional to 6,872,051.50 and 13,570,641.25

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Solution

The third proportional to 6,872,051.50 and 13,570,641.25 is: 26,798,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872,051.50 : 13,570,641.25 = 13,570,641.25 : x
  2. Step 2: Convert to fraction form
    6,872,051.50/13,570,641.25 = 13,570,641.25/x
  3. Step 3: Cross multiply
    6,872,051.50x = 13,570,641.25 × 13,570,641.25
  4. Step 4: Simplify right side
    6,872,051.50x = 184,162,303,936,201.56
  5. Step 5: Solve for x
    x = 184,162,303,936,201.56/6,872,051.50
  6. Step 6: Final answer
    x = 26,798,737.46

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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.