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Finding the Third Proportional to 5,742,616 and 12,617,324

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Solution

The third proportional to 5,742,616 and 12,617,324 is: 27,722,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,616 : 12,617,324 = 12,617,324 : x
  2. Step 2: Convert to fraction form
    5,742,616/12,617,324 = 12,617,324/x
  3. Step 3: Cross multiply
    5,742,616x = 12,617,324 × 12,617,324
  4. Step 4: Simplify right side
    5,742,616x = 159,196,864,920,976
  5. Step 5: Solve for x
    x = 159,196,864,920,976/5,742,616
  6. Step 6: Final answer
    x = 27,722,011.17

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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.