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Finding the Third Proportional to 9,795,345 and 22,873,731

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Solution

The third proportional to 9,795,345 and 22,873,731 is: 53,413,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795,345 : 22,873,731 = 22,873,731 : x
  2. Step 2: Convert to fraction form
    9,795,345/22,873,731 = 22,873,731/x
  3. Step 3: Cross multiply
    9,795,345x = 22,873,731 × 22,873,731
  4. Step 4: Simplify right side
    9,795,345x = 523,207,569,860,361
  5. Step 5: Solve for x
    x = 523,207,569,860,361/9,795,345
  6. Step 6: Final answer
    x = 53,413,899.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.