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Finding the Third Proportional to 7,684,752 and 16,509,177

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Solution

The third proportional to 7,684,752 and 16,509,177 is: 35,466,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684,752 : 16,509,177 = 16,509,177 : x
  2. Step 2: Convert to fraction form
    7,684,752/16,509,177 = 16,509,177/x
  3. Step 3: Cross multiply
    7,684,752x = 16,509,177 × 16,509,177
  4. Step 4: Simplify right side
    7,684,752x = 272,552,925,217,329
  5. Step 5: Solve for x
    x = 272,552,925,217,329/7,684,752
  6. Step 6: Final answer
    x = 35,466,717.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.