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Finding the Third Proportional to 12,580,087.50 and 19,883,785.50

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Solution

The third proportional to 12,580,087.50 and 19,883,785.50 is: 31,427,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580,087.50 : 19,883,785.50 = 19,883,785.50 : x
  2. Step 2: Convert to fraction form
    12,580,087.50/19,883,785.50 = 19,883,785.50/x
  3. Step 3: Cross multiply
    12,580,087.50x = 19,883,785.50 × 19,883,785.50
  4. Step 4: Simplify right side
    12,580,087.50x = 395,364,925,810,010.25
  5. Step 5: Solve for x
    x = 395,364,925,810,010.25/12,580,087.50
  6. Step 6: Final answer
    x = 31,427,835.92

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.