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Finding the Third Proportional to 13,929,536 and 19,727,904

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Solution

The third proportional to 13,929,536 and 19,727,904 is: 27,939,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929,536 : 19,727,904 = 19,727,904 : x
  2. Step 2: Convert to fraction form
    13,929,536/19,727,904 = 19,727,904/x
  3. Step 3: Cross multiply
    13,929,536x = 19,727,904 × 19,727,904
  4. Step 4: Simplify right side
    13,929,536x = 389,190,196,233,216
  5. Step 5: Solve for x
    x = 389,190,196,233,216/13,929,536
  6. Step 6: Final answer
    x = 27,939,925.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.