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Finding the Third Proportional to 432,373,679,166 and 929,818,110,156

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Solution

The third proportional to 432,373,679,166 and 929,818,110,156 is: 1,999,570,648,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,373,679,166 : 929,818,110,156 = 929,818,110,156 : x
  2. Step 2: Convert to fraction form
    432,373,679,166/929,818,110,156 = 929,818,110,156/x
  3. Step 3: Cross multiply
    432,373,679,166x = 929,818,110,156 × 929,818,110,156
  4. Step 4: Simplify right side
    432,373,679,166x = 864,561,717,974,075,395,014,656
  5. Step 5: Solve for x
    x = 864,561,717,974,075,395,014,656/432,373,679,166
  6. Step 6: Final answer
    x = 1,999,570,648,337.61

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Why These Related Problems?

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