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Finding the Third Proportional to 7,678,820 and 16,528,252

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Solution

The third proportional to 7,678,820 and 16,528,252 is: 35,576,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,820 : 16,528,252 = 16,528,252 : x
  2. Step 2: Convert to fraction form
    7,678,820/16,528,252 = 16,528,252/x
  3. Step 3: Cross multiply
    7,678,820x = 16,528,252 × 16,528,252
  4. Step 4: Simplify right side
    7,678,820x = 273,183,114,175,504
  5. Step 5: Solve for x
    x = 273,183,114,175,504/7,678,820
  6. Step 6: Final answer
    x = 35,576,184.12

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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.