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Finding the Third Proportional to 9,348,741.75 and 13,985,852.25

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Solution

The third proportional to 9,348,741.75 and 13,985,852.25 is: 20,923,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,741.75 : 13,985,852.25 = 13,985,852.25 : x
  2. Step 2: Convert to fraction form
    9,348,741.75/13,985,852.25 = 13,985,852.25/x
  3. Step 3: Cross multiply
    9,348,741.75x = 13,985,852.25 × 13,985,852.25
  4. Step 4: Simplify right side
    9,348,741.75x = 195,604,063,158,830.06
  5. Step 5: Solve for x
    x = 195,604,063,158,830.06/9,348,741.75
  6. Step 6: Final answer
    x = 20,923,036.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.