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Finding the Third Proportional to 5,883,246.50 and 12,711,827

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Solution

The third proportional to 5,883,246.50 and 12,711,827 is: 27,466,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883,246.50 : 12,711,827 = 12,711,827 : x
  2. Step 2: Convert to fraction form
    5,883,246.50/12,711,827 = 12,711,827/x
  3. Step 3: Cross multiply
    5,883,246.50x = 12,711,827 × 12,711,827
  4. Step 4: Simplify right side
    5,883,246.50x = 161,590,545,677,929
  5. Step 5: Solve for x
    x = 161,590,545,677,929/5,883,246.50
  6. Step 6: Final answer
    x = 27,466,220.51

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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.