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Finding the Third Proportional to 5,390,214 and 11,676,768

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Solution

The third proportional to 5,390,214 and 11,676,768 is: 25,295,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390,214 : 11,676,768 = 11,676,768 : x
  2. Step 2: Convert to fraction form
    5,390,214/11,676,768 = 11,676,768/x
  3. Step 3: Cross multiply
    5,390,214x = 11,676,768 × 11,676,768
  4. Step 4: Simplify right side
    5,390,214x = 136,346,910,925,824
  5. Step 5: Solve for x
    x = 136,346,910,925,824/5,390,214
  6. Step 6: Final answer
    x = 25,295,268.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.