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Finding the Third Proportional to 13,986,097 and 21,107,657.50

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Solution

The third proportional to 13,986,097 and 21,107,657.50 is: 31,855,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986,097 : 21,107,657.50 = 21,107,657.50 : x
  2. Step 2: Convert to fraction form
    13,986,097/21,107,657.50 = 21,107,657.50/x
  3. Step 3: Cross multiply
    13,986,097x = 21,107,657.50 × 21,107,657.50
  4. Step 4: Simplify right side
    13,986,097x = 445,533,205,137,306.25
  5. Step 5: Solve for x
    x = 445,533,205,137,306.25/13,986,097
  6. Step 6: Final answer
    x = 31,855,435.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.