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Finding the Third Proportional to 7,815,034 and 16,662,324

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Solution

The third proportional to 7,815,034 and 16,662,324 is: 35,525,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,034 : 16,662,324 = 16,662,324 : x
  2. Step 2: Convert to fraction form
    7,815,034/16,662,324 = 16,662,324/x
  3. Step 3: Cross multiply
    7,815,034x = 16,662,324 × 16,662,324
  4. Step 4: Simplify right side
    7,815,034x = 277,633,041,080,976
  5. Step 5: Solve for x
    x = 277,633,041,080,976/7,815,034
  6. Step 6: Final answer
    x = 35,525,506.49

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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.