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Finding the Third Proportional to 318,840,810,778 and 702,671,534,880

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Solution

The third proportional to 318,840,810,778 and 702,671,534,880 is: 1,548,569,910,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840,810,778 : 702,671,534,880 = 702,671,534,880 : x
  2. Step 2: Convert to fraction form
    318,840,810,778/702,671,534,880 = 702,671,534,880/x
  3. Step 3: Cross multiply
    318,840,810,778x = 702,671,534,880 × 702,671,534,880
  4. Step 4: Simplify right side
    318,840,810,778x = 493,747,285,930,615,060,299,776
  5. Step 5: Solve for x
    x = 493,747,285,930,615,060,299,776/318,840,810,778
  6. Step 6: Final answer
    x = 1,548,569,910,877.56

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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.