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Finding the Third Proportional to 318,840,810,776 and 702,671,534,876

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Solution

The third proportional to 318,840,810,776 and 702,671,534,876 is: 1,548,569,910,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840,810,776 : 702,671,534,876 = 702,671,534,876 : x
  2. Step 2: Convert to fraction form
    318,840,810,776/702,671,534,876 = 702,671,534,876/x
  3. Step 3: Cross multiply
    318,840,810,776x = 702,671,534,876 × 702,671,534,876
  4. Step 4: Simplify right side
    318,840,810,776x = 493,747,285,924,993,686,306,816
  5. Step 5: Solve for x
    x = 493,747,285,924,993,686,306,816/318,840,810,776
  6. Step 6: Final answer
    x = 1,548,569,910,869.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.