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Finding the Third Proportional to 5,971,052,464 and 8,839,084,296

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Solution

The third proportional to 5,971,052,464 and 8,839,084,296 is: 13,084,696,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,052,464 : 8,839,084,296 = 8,839,084,296 : x
  2. Step 2: Convert to fraction form
    5,971,052,464/8,839,084,296 = 8,839,084,296/x
  3. Step 3: Cross multiply
    5,971,052,464x = 8,839,084,296 × 8,839,084,296
  4. Step 4: Simplify right side
    5,971,052,464x = 78,129,411,191,793,811,456
  5. Step 5: Solve for x
    x = 78,129,411,191,793,811,456/5,971,052,464
  6. Step 6: Final answer
    x = 13,084,696,820.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.