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Finding the Third Proportional to 6,393,769 and 13,697,258

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Solution

The third proportional to 6,393,769 and 13,697,258 is: 29,343,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,769 : 13,697,258 = 13,697,258 : x
  2. Step 2: Convert to fraction form
    6,393,769/13,697,258 = 13,697,258/x
  3. Step 3: Cross multiply
    6,393,769x = 13,697,258 × 13,697,258
  4. Step 4: Simplify right side
    6,393,769x = 187,614,876,718,564
  5. Step 5: Solve for x
    x = 187,614,876,718,564/6,393,769
  6. Step 6: Final answer
    x = 29,343,393.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.