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Finding the Third Proportional to 8,409,564 and 18,446,904

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Solution

The third proportional to 8,409,564 and 18,446,904 is: 40,464,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409,564 : 18,446,904 = 18,446,904 : x
  2. Step 2: Convert to fraction form
    8,409,564/18,446,904 = 18,446,904/x
  3. Step 3: Cross multiply
    8,409,564x = 18,446,904 × 18,446,904
  4. Step 4: Simplify right side
    8,409,564x = 340,288,267,185,216
  5. Step 5: Solve for x
    x = 340,288,267,185,216/8,409,564
  6. Step 6: Final answer
    x = 40,464,436.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.