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Finding the Third Proportional to 11,998,220.63 and 19,321,087.13

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Solution

The third proportional to 11,998,220.63 and 19,321,087.13 is: 31,113,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998,220.63 : 19,321,087.13 = 19,321,087.13 : x
  2. Step 2: Convert to fraction form
    11,998,220.63/19,321,087.13 = 19,321,087.13/x
  3. Step 3: Cross multiply
    11,998,220.63x = 19,321,087.13 × 19,321,087.13
  4. Step 4: Simplify right side
    11,998,220.63x = 373,304,407,691,840.75
  5. Step 5: Solve for x
    x = 373,304,407,691,840.75/11,998,220.63
  6. Step 6: Final answer
    x = 31,113,314.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.