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Finding the Third Proportional to 7,643,808 and 11,049,696

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Solution

The third proportional to 7,643,808 and 11,049,696 is: 15,973,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643,808 : 11,049,696 = 11,049,696 : x
  2. Step 2: Convert to fraction form
    7,643,808/11,049,696 = 11,049,696/x
  3. Step 3: Cross multiply
    7,643,808x = 11,049,696 × 11,049,696
  4. Step 4: Simplify right side
    7,643,808x = 122,095,781,692,416
  5. Step 5: Solve for x
    x = 122,095,781,692,416/7,643,808
  6. Step 6: Final answer
    x = 15,973,161.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.