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Finding the Third Proportional to 432,373,678,471.88 and 929,818,108,841.60

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Solution

The third proportional to 432,373,678,471.88 and 929,818,108,841.60 is: 1,999,570,645,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,373,678,471.88 : 929,818,108,841.60 = 929,818,108,841.60 : x
  2. Step 2: Convert to fraction form
    432,373,678,471.88/929,818,108,841.60 = 929,818,108,841.60/x
  3. Step 3: Cross multiply
    432,373,678,471.88x = 929,818,108,841.60 × 929,818,108,841.60
  4. Step 4: Simplify right side
    432,373,678,471.88x = 864,561,715,529,769,509,978,112
  5. Step 5: Solve for x
    x = 864,561,715,529,769,509,978,112/432,373,678,471.88
  6. Step 6: Final answer
    x = 1,999,570,645,894.43

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1.5x scale

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.