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Finding the Third Proportional to 9,854,682 and 21,071,272

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Solution

The third proportional to 9,854,682 and 21,071,272 is: 45,054,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854,682 : 21,071,272 = 21,071,272 : x
  2. Step 2: Convert to fraction form
    9,854,682/21,071,272 = 21,071,272/x
  3. Step 3: Cross multiply
    9,854,682x = 21,071,272 × 21,071,272
  4. Step 4: Simplify right side
    9,854,682x = 443,998,503,697,984
  5. Step 5: Solve for x
    x = 443,998,503,697,984/9,854,682
  6. Step 6: Final answer
    x = 45,054,574.43

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