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Finding the Third Proportional to 5,777,838 and 13,663,948

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Solution

The third proportional to 5,777,838 and 13,663,948 is: 32,313,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,838 : 13,663,948 = 13,663,948 : x
  2. Step 2: Convert to fraction form
    5,777,838/13,663,948 = 13,663,948/x
  3. Step 3: Cross multiply
    5,777,838x = 13,663,948 × 13,663,948
  4. Step 4: Simplify right side
    5,777,838x = 186,703,474,946,704
  5. Step 5: Solve for x
    x = 186,703,474,946,704/5,777,838
  6. Step 6: Final answer
    x = 32,313,726.16

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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.