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Finding the Third Proportional to 827,458,371 and 1,234,011,997.50

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Solution

The third proportional to 827,458,371 and 1,234,011,997.50 is: 1,840,316,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,458,371 : 1,234,011,997.50 = 1,234,011,997.50 : x
  2. Step 2: Convert to fraction form
    827,458,371/1,234,011,997.50 = 1,234,011,997.50/x
  3. Step 3: Cross multiply
    827,458,371x = 1,234,011,997.50 × 1,234,011,997.50
  4. Step 4: Simplify right side
    827,458,371x = 1,522,785,609,973,939,968
  5. Step 5: Solve for x
    x = 1,522,785,609,973,939,968/827,458,371
  6. Step 6: Final answer
    x = 1,840,316,882.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.