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Finding the Third Proportional to 7,509,849 and 15,417,815

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Solution

The third proportional to 7,509,849 and 15,417,815 is: 31,652,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,849 : 15,417,815 = 15,417,815 : x
  2. Step 2: Convert to fraction form
    7,509,849/15,417,815 = 15,417,815/x
  3. Step 3: Cross multiply
    7,509,849x = 15,417,815 × 15,417,815
  4. Step 4: Simplify right side
    7,509,849x = 237,709,019,374,225
  5. Step 5: Solve for x
    x = 237,709,019,374,225/7,509,849
  6. Step 6: Final answer
    x = 31,652,969.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.