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Finding the Third Proportional to 6,322,699,136,430 and 8,530,805,556,801

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Solution

The third proportional to 6,322,699,136,430 and 8,530,805,556,801 is: 11,510,059,529,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,699,136,430 : 8,530,805,556,801 = 8,530,805,556,801 : x
  2. Step 2: Convert to fraction form
    6,322,699,136,430/8,530,805,556,801 = 8,530,805,556,801/x
  3. Step 3: Cross multiply
    6,322,699,136,430x = 8,530,805,556,801 × 8,530,805,556,801
  4. Step 4: Simplify right side
    6,322,699,136,430x = 72,774,643,447,946,818,988,539,904
  5. Step 5: Solve for x
    x = 72,774,643,447,946,818,988,539,904/6,322,699,136,430
  6. Step 6: Final answer
    x = 11,510,059,529,582.13

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