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Finding the Third Proportional to 18,944,970 and 27,698,208

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Solution

The third proportional to 18,944,970 and 27,698,208 is: 40,495,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944,970 : 27,698,208 = 27,698,208 : x
  2. Step 2: Convert to fraction form
    18,944,970/27,698,208 = 27,698,208/x
  3. Step 3: Cross multiply
    18,944,970x = 27,698,208 × 27,698,208
  4. Step 4: Simplify right side
    18,944,970x = 767,190,726,411,264
  5. Step 5: Solve for x
    x = 767,190,726,411,264/18,944,970
  6. Step 6: Final answer
    x = 40,495,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.