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Finding the Third Proportional to 13,260,591 and 19,809,207

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Solution

The third proportional to 13,260,591 and 19,809,207 is: 29,591,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260,591 : 19,809,207 = 19,809,207 : x
  2. Step 2: Convert to fraction form
    13,260,591/19,809,207 = 19,809,207/x
  3. Step 3: Cross multiply
    13,260,591x = 19,809,207 × 19,809,207
  4. Step 4: Simplify right side
    13,260,591x = 392,404,681,968,849
  5. Step 5: Solve for x
    x = 392,404,681,968,849/13,260,591
  6. Step 6: Final answer
    x = 29,591,794.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.