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Finding the Third Proportional to 5,069,616 and 11,272,688

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Solution

The third proportional to 5,069,616 and 11,272,688 is: 25,065,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069,616 : 11,272,688 = 11,272,688 : x
  2. Step 2: Convert to fraction form
    5,069,616/11,272,688 = 11,272,688/x
  3. Step 3: Cross multiply
    5,069,616x = 11,272,688 × 11,272,688
  4. Step 4: Simplify right side
    5,069,616x = 127,073,494,745,344
  5. Step 5: Solve for x
    x = 127,073,494,745,344/5,069,616
  6. Step 6: Final answer
    x = 25,065,704.14

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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.