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Finding the Third Proportional to 432,373,678,839 and 929,818,109,574

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Solution

The third proportional to 432,373,678,839 and 929,818,109,574 is: 1,999,570,647,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,373,678,839 : 929,818,109,574 = 929,818,109,574 : x
  2. Step 2: Convert to fraction form
    432,373,678,839/929,818,109,574 = 929,818,109,574/x
  3. Step 3: Cross multiply
    432,373,678,839x = 929,818,109,574 × 929,818,109,574
  4. Step 4: Simplify right side
    432,373,678,839x = 864,561,716,891,767,124,525,056
  5. Step 5: Solve for x
    x = 864,561,716,891,767,124,525,056/432,373,678,839
  6. Step 6: Final answer
    x = 1,999,570,647,346.69

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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.