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Finding the Third Proportional to 7,819,705,490,960.80 and 16,834,505,401,698

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Solution

The third proportional to 7,819,705,490,960.80 and 16,834,505,401,698 is: 36,241,847,272,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819,705,490,960.80 : 16,834,505,401,698 = 16,834,505,401,698 : x
  2. Step 2: Convert to fraction form
    7,819,705,490,960.80/16,834,505,401,698 = 16,834,505,401,698/x
  3. Step 3: Cross multiply
    7,819,705,490,960.80x = 16,834,505,401,698 × 16,834,505,401,698
  4. Step 4: Simplify right side
    7,819,705,490,960.80x = 283,400,572,119,799,149,788,921,856
  5. Step 5: Solve for x
    x = 283,400,572,119,799,149,788,921,856/7,819,705,490,960.80
  6. Step 6: Final answer
    x = 36,241,847,272,559.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.