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Finding the Third Proportional to 7,884,472 and 16,946,792

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Solution

The third proportional to 7,884,472 and 16,946,792 is: 36,425,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,472 : 16,946,792 = 16,946,792 : x
  2. Step 2: Convert to fraction form
    7,884,472/16,946,792 = 16,946,792/x
  3. Step 3: Cross multiply
    7,884,472x = 16,946,792 × 16,946,792
  4. Step 4: Simplify right side
    7,884,472x = 287,193,759,091,264
  5. Step 5: Solve for x
    x = 287,193,759,091,264/7,884,472
  6. Step 6: Final answer
    x = 36,425,236.73

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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.