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Finding the Third Proportional to 7,711,369.50 and 16,627,822.50

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Solution

The third proportional to 7,711,369.50 and 16,627,822.50 is: 35,854,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711,369.50 : 16,627,822.50 = 16,627,822.50 : x
  2. Step 2: Convert to fraction form
    7,711,369.50/16,627,822.50 = 16,627,822.50/x
  3. Step 3: Cross multiply
    7,711,369.50x = 16,627,822.50 × 16,627,822.50
  4. Step 4: Simplify right side
    7,711,369.50x = 276,484,481,091,506.25
  5. Step 5: Solve for x
    x = 276,484,481,091,506.25/7,711,369.50
  6. Step 6: Final answer
    x = 35,854,134.74

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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.