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Finding the Third Proportional to 6,322,699,136,436 and 8,530,805,556,810

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Solution

The third proportional to 6,322,699,136,436 and 8,530,805,556,810 is: 11,510,059,529,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,699,136,436 : 8,530,805,556,810 = 8,530,805,556,810 : x
  2. Step 2: Convert to fraction form
    6,322,699,136,436/8,530,805,556,810 = 8,530,805,556,810/x
  3. Step 3: Cross multiply
    6,322,699,136,436x = 8,530,805,556,810 × 8,530,805,556,810
  4. Step 4: Simplify right side
    6,322,699,136,436x = 72,774,643,448,100,372,659,306,496
  5. Step 5: Solve for x
    x = 72,774,643,448,100,372,659,306,496/6,322,699,136,436
  6. Step 6: Final answer
    x = 11,510,059,529,595.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.