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Finding the Third Proportional to 926,012,016,692 and 2,005,898,573,436

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Solution

The third proportional to 926,012,016,692 and 2,005,898,573,436 is: 4,345,115,413,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,012,016,692 : 2,005,898,573,436 = 2,005,898,573,436 : x
  2. Step 2: Convert to fraction form
    926,012,016,692/2,005,898,573,436 = 2,005,898,573,436/x
  3. Step 3: Cross multiply
    926,012,016,692x = 2,005,898,573,436 × 2,005,898,573,436
  4. Step 4: Simplify right side
    926,012,016,692x = 4,023,629,086,912,580,025,319,424
  5. Step 5: Solve for x
    x = 4,023,629,086,912,580,025,319,424/926,012,016,692
  6. Step 6: Final answer
    x = 4,345,115,413,605.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.