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Finding the Third Proportional to 8,771,976 and 13,157,964

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Solution

The third proportional to 8,771,976 and 13,157,964 is: 19,736,946

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771,976 : 13,157,964 = 13,157,964 : x
  2. Step 2: Convert to fraction form
    8,771,976/13,157,964 = 13,157,964/x
  3. Step 3: Cross multiply
    8,771,976x = 13,157,964 × 13,157,964
  4. Step 4: Simplify right side
    8,771,976x = 173,132,016,625,296
  5. Step 5: Solve for x
    x = 173,132,016,625,296/8,771,976
  6. Step 6: Final answer
    x = 19,736,946

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.