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Finding the Third Proportional to 9,220,270.50 and 13,531,468.50

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Solution

The third proportional to 9,220,270.50 and 13,531,468.50 is: 19,858,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,270.50 : 13,531,468.50 = 13,531,468.50 : x
  2. Step 2: Convert to fraction form
    9,220,270.50/13,531,468.50 = 13,531,468.50/x
  3. Step 3: Cross multiply
    9,220,270.50x = 13,531,468.50 × 13,531,468.50
  4. Step 4: Simplify right side
    9,220,270.50x = 183,100,639,766,492.25
  5. Step 5: Solve for x
    x = 183,100,639,766,492.25/9,220,270.50
  6. Step 6: Final answer
    x = 19,858,488.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.