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Finding the Third Proportional to 7,692,095 and 16,413,736

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Solution

The third proportional to 7,692,095 and 16,413,736 is: 35,024,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,095 : 16,413,736 = 16,413,736 : x
  2. Step 2: Convert to fraction form
    7,692,095/16,413,736 = 16,413,736/x
  3. Step 3: Cross multiply
    7,692,095x = 16,413,736 × 16,413,736
  4. Step 4: Simplify right side
    7,692,095x = 269,410,729,477,696
  5. Step 5: Solve for x
    x = 269,410,729,477,696/7,692,095
  6. Step 6: Final answer
    x = 35,024,363.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.