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Finding the Third Proportional to 13,759,524.75 and 32,130,811.88

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Solution

The third proportional to 13,759,524.75 and 32,130,811.88 is: 75,030,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759,524.75 : 32,130,811.88 = 32,130,811.88 : x
  2. Step 2: Convert to fraction form
    13,759,524.75/32,130,811.88 = 32,130,811.88/x
  3. Step 3: Cross multiply
    13,759,524.75x = 32,130,811.88 × 32,130,811.88
  4. Step 4: Simplify right side
    13,759,524.75x = 1,032,389,071,746,641
  5. Step 5: Solve for x
    x = 1,032,389,071,746,641/13,759,524.75
  6. Step 6: Final answer
    x = 75,030,867.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.