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Finding the Third Proportional to 7,999,098 and 17,727,808.50

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Solution

The third proportional to 7,999,098 and 17,727,808.50 is: 39,288,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999,098 : 17,727,808.50 = 17,727,808.50 : x
  2. Step 2: Convert to fraction form
    7,999,098/17,727,808.50 = 17,727,808.50/x
  3. Step 3: Cross multiply
    7,999,098x = 17,727,808.50 × 17,727,808.50
  4. Step 4: Simplify right side
    7,999,098x = 314,275,194,212,672.25
  5. Step 5: Solve for x
    x = 314,275,194,212,672.25/7,999,098
  6. Step 6: Final answer
    x = 39,288,829.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.