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Finding the Third Proportional to 10,851,654 and 14,465,994

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Solution

The third proportional to 10,851,654 and 14,465,994 is: 19,284,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851,654 : 14,465,994 = 14,465,994 : x
  2. Step 2: Convert to fraction form
    10,851,654/14,465,994 = 14,465,994/x
  3. Step 3: Cross multiply
    10,851,654x = 14,465,994 × 14,465,994
  4. Step 4: Simplify right side
    10,851,654x = 209,264,982,408,036
  5. Step 5: Solve for x
    x = 209,264,982,408,036/10,851,654
  6. Step 6: Final answer
    x = 19,284,155.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.