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Finding the Third Proportional to 829,562,820 and 1,777,451,442

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Solution

The third proportional to 829,562,820 and 1,777,451,442 is: 3,808,432,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,562,820 : 1,777,451,442 = 1,777,451,442 : x
  2. Step 2: Convert to fraction form
    829,562,820/1,777,451,442 = 1,777,451,442/x
  3. Step 3: Cross multiply
    829,562,820x = 1,777,451,442 × 1,777,451,442
  4. Step 4: Simplify right side
    829,562,820x = 3,159,333,628,667,879,424
  5. Step 5: Solve for x
    x = 3,159,333,628,667,879,424/829,562,820
  6. Step 6: Final answer
    x = 3,808,432,046.98

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