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Finding the Third Proportional to 9,854,678.25 and 21,071,262.75

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Solution

The third proportional to 9,854,678.25 and 21,071,262.75 is: 45,054,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854,678.25 : 21,071,262.75 = 21,071,262.75 : x
  2. Step 2: Convert to fraction form
    9,854,678.25/21,071,262.75 = 21,071,262.75/x
  3. Step 3: Cross multiply
    9,854,678.25x = 21,071,262.75 × 21,071,262.75
  4. Step 4: Simplify right side
    9,854,678.25x = 443,998,113,879,537.56
  5. Step 5: Solve for x
    x = 443,998,113,879,537.56/9,854,678.25
  6. Step 6: Final answer
    x = 45,054,552.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.