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Finding the Third Proportional to 6,702,821,040 and 14,100,256,608

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Solution

The third proportional to 6,702,821,040 and 14,100,256,608 is: 29,661,725,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702,821,040 : 14,100,256,608 = 14,100,256,608 : x
  2. Step 2: Convert to fraction form
    6,702,821,040/14,100,256,608 = 14,100,256,608/x
  3. Step 3: Cross multiply
    6,702,821,040x = 14,100,256,608 × 14,100,256,608
  4. Step 4: Simplify right side
    6,702,821,040x = 198,817,236,411,447,672,832
  5. Step 5: Solve for x
    x = 198,817,236,411,447,672,832/6,702,821,040
  6. Step 6: Final answer
    x = 29,661,725,298.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.