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Finding the Third Proportional to 16,884,918 and 27,946,080

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Solution

The third proportional to 16,884,918 and 27,946,080 is: 46,253,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884,918 : 27,946,080 = 27,946,080 : x
  2. Step 2: Convert to fraction form
    16,884,918/27,946,080 = 27,946,080/x
  3. Step 3: Cross multiply
    16,884,918x = 27,946,080 × 27,946,080
  4. Step 4: Simplify right side
    16,884,918x = 780,983,387,366,400
  5. Step 5: Solve for x
    x = 780,983,387,366,400/16,884,918
  6. Step 6: Final answer
    x = 46,253,312.42

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.