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Finding the Third Proportional to 10,239,207.89 and 21,997,964.95

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Solution

The third proportional to 10,239,207.89 and 21,997,964.95 is: 47,260,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,207.89 : 21,997,964.95 = 21,997,964.95 : x
  2. Step 2: Convert to fraction form
    10,239,207.89/21,997,964.95 = 21,997,964.95/x
  3. Step 3: Cross multiply
    10,239,207.89x = 21,997,964.95 × 21,997,964.95
  4. Step 4: Simplify right side
    10,239,207.89x = 483,910,462,078,915.81
  5. Step 5: Solve for x
    x = 483,910,462,078,915.81/10,239,207.89
  6. Step 6: Final answer
    x = 47,260,536.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.