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Finding the Third Proportional to 829,562,811 and 1,777,451,427

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Solution

The third proportional to 829,562,811 and 1,777,451,427 is: 3,808,432,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,562,811 : 1,777,451,427 = 1,777,451,427 : x
  2. Step 2: Convert to fraction form
    829,562,811/1,777,451,427 = 1,777,451,427/x
  3. Step 3: Cross multiply
    829,562,811x = 1,777,451,427 × 1,777,451,427
  4. Step 4: Simplify right side
    829,562,811x = 3,159,333,575,344,336,384
  5. Step 5: Solve for x
    x = 3,159,333,575,344,336,384/829,562,811
  6. Step 6: Final answer
    x = 3,808,432,024.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.