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Finding the Third Proportional to 7,946,949 and 17,163,909

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Solution

The third proportional to 7,946,949 and 17,163,909 is: 37,070,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,949 : 17,163,909 = 17,163,909 : x
  2. Step 2: Convert to fraction form
    7,946,949/17,163,909 = 17,163,909/x
  3. Step 3: Cross multiply
    7,946,949x = 17,163,909 × 17,163,909
  4. Step 4: Simplify right side
    7,946,949x = 294,599,772,160,281
  5. Step 5: Solve for x
    x = 294,599,772,160,281/7,946,949
  6. Step 6: Final answer
    x = 37,070,801.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.