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Finding the Third Proportional to 11,531,688 and 16,220,772

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Solution

The third proportional to 11,531,688 and 16,220,772 is: 22,816,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531,688 : 16,220,772 = 16,220,772 : x
  2. Step 2: Convert to fraction form
    11,531,688/16,220,772 = 16,220,772/x
  3. Step 3: Cross multiply
    11,531,688x = 16,220,772 × 16,220,772
  4. Step 4: Simplify right side
    11,531,688x = 263,113,444,275,984
  5. Step 5: Solve for x
    x = 263,113,444,275,984/11,531,688
  6. Step 6: Final answer
    x = 22,816,559.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.