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Finding the Third Proportional to 1,828,016,388 and 2,784,856,518

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Solution

The third proportional to 1,828,016,388 and 2,784,856,518 is: 4,242,536,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,016,388 : 2,784,856,518 = 2,784,856,518 : x
  2. Step 2: Convert to fraction form
    1,828,016,388/2,784,856,518 = 2,784,856,518/x
  3. Step 3: Cross multiply
    1,828,016,388x = 2,784,856,518 × 2,784,856,518
  4. Step 4: Simplify right side
    1,828,016,388x = 7,755,425,825,847,084,032
  5. Step 5: Solve for x
    x = 7,755,425,825,847,084,032/1,828,016,388
  6. Step 6: Final answer
    x = 4,242,536,268.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.