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Finding the Third Proportional to 5,617,970 and 12,120,944

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Solution

The third proportional to 5,617,970 and 12,120,944 is: 26,151,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617,970 : 12,120,944 = 12,120,944 : x
  2. Step 2: Convert to fraction form
    5,617,970/12,120,944 = 12,120,944/x
  3. Step 3: Cross multiply
    5,617,970x = 12,120,944 × 12,120,944
  4. Step 4: Simplify right side
    5,617,970x = 146,917,283,451,136
  5. Step 5: Solve for x
    x = 146,917,283,451,136/5,617,970
  6. Step 6: Final answer
    x = 26,151,311.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.