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Finding the Third Proportional to 7,340,784 and 16,174,552

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Solution

The third proportional to 7,340,784 and 16,174,552 is: 35,638,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340,784 : 16,174,552 = 16,174,552 : x
  2. Step 2: Convert to fraction form
    7,340,784/16,174,552 = 16,174,552/x
  3. Step 3: Cross multiply
    7,340,784x = 16,174,552 × 16,174,552
  4. Step 4: Simplify right side
    7,340,784x = 261,616,132,400,704
  5. Step 5: Solve for x
    x = 261,616,132,400,704/7,340,784
  6. Step 6: Final answer
    x = 35,638,718.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.