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Finding the Third Proportional to 817,292,448 and 1,815,983,424

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Solution

The third proportional to 817,292,448 and 1,815,983,424 is: 4,035,025,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,292,448 : 1,815,983,424 = 1,815,983,424 : x
  2. Step 2: Convert to fraction form
    817,292,448/1,815,983,424 = 1,815,983,424/x
  3. Step 3: Cross multiply
    817,292,448x = 1,815,983,424 × 1,815,983,424
  4. Step 4: Simplify right side
    817,292,448x = 3,297,795,796,242,763,776
  5. Step 5: Solve for x
    x = 3,297,795,796,242,763,776/817,292,448
  6. Step 6: Final answer
    x = 4,035,025,411.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.