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Finding the Third Proportional to 11,553,584 and 16,151,792

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Solution

The third proportional to 11,553,584 and 16,151,792 is: 22,580,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553,584 : 16,151,792 = 16,151,792 : x
  2. Step 2: Convert to fraction form
    11,553,584/16,151,792 = 16,151,792/x
  3. Step 3: Cross multiply
    11,553,584x = 16,151,792 × 16,151,792
  4. Step 4: Simplify right side
    11,553,584x = 260,880,384,811,264
  5. Step 5: Solve for x
    x = 260,880,384,811,264/11,553,584
  6. Step 6: Final answer
    x = 22,580,039.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.