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Finding the Third Proportional to 1,297,121,035,423 and 2,789,454,326,539

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Solution

The third proportional to 1,297,121,035,423 and 2,789,454,326,539 is: 5,998,711,937,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,121,035,423 : 2,789,454,326,539 = 2,789,454,326,539 : x
  2. Step 2: Convert to fraction form
    1,297,121,035,423/2,789,454,326,539 = 2,789,454,326,539/x
  3. Step 3: Cross multiply
    1,297,121,035,423x = 2,789,454,326,539 × 2,789,454,326,539
  4. Step 4: Simplify right side
    1,297,121,035,423x = 7,781,055,439,847,146,395,795,456
  5. Step 5: Solve for x
    x = 7,781,055,439,847,146,395,795,456/1,297,121,035,423
  6. Step 6: Final answer
    x = 5,998,711,937,710.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.