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Finding the Third Proportional to 5,685,943 and 13,422,583

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Solution

The third proportional to 5,685,943 and 13,422,583 is: 31,686,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,943 : 13,422,583 = 13,422,583 : x
  2. Step 2: Convert to fraction form
    5,685,943/13,422,583 = 13,422,583/x
  3. Step 3: Cross multiply
    5,685,943x = 13,422,583 × 13,422,583
  4. Step 4: Simplify right side
    5,685,943x = 180,165,734,391,889
  5. Step 5: Solve for x
    x = 180,165,734,391,889/5,685,943
  6. Step 6: Final answer
    x = 31,686,166.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.