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Finding the Third Proportional to 6,906,322 and 15,038,732

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Solution

The third proportional to 6,906,322 and 15,038,732 is: 32,747,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906,322 : 15,038,732 = 15,038,732 : x
  2. Step 2: Convert to fraction form
    6,906,322/15,038,732 = 15,038,732/x
  3. Step 3: Cross multiply
    6,906,322x = 15,038,732 × 15,038,732
  4. Step 4: Simplify right side
    6,906,322x = 226,163,460,167,824
  5. Step 5: Solve for x
    x = 226,163,460,167,824/6,906,322
  6. Step 6: Final answer
    x = 32,747,308.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.