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Finding the Third Proportional to 7,946,947 and 17,163,905

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Solution

The third proportional to 7,946,947 and 17,163,905 is: 37,070,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,947 : 17,163,905 = 17,163,905 : x
  2. Step 2: Convert to fraction form
    7,946,947/17,163,905 = 17,163,905/x
  3. Step 3: Cross multiply
    7,946,947x = 17,163,905 × 17,163,905
  4. Step 4: Simplify right side
    7,946,947x = 294,599,634,849,025
  5. Step 5: Solve for x
    x = 294,599,634,849,025/7,946,947
  6. Step 6: Final answer
    x = 37,070,793.96

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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.