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Finding the Third Proportional to 9,778,026 and 20,645,873

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Solution

The third proportional to 9,778,026 and 20,645,873 is: 43,592,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,026 : 20,645,873 = 20,645,873 : x
  2. Step 2: Convert to fraction form
    9,778,026/20,645,873 = 20,645,873/x
  3. Step 3: Cross multiply
    9,778,026x = 20,645,873 × 20,645,873
  4. Step 4: Simplify right side
    9,778,026x = 426,252,071,932,129
  5. Step 5: Solve for x
    x = 426,252,071,932,129/9,778,026
  6. Step 6: Final answer
    x = 43,592,855.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.