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Finding the Third Proportional to 279,441,395,280 and 607,843,812,416

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Solution

The third proportional to 279,441,395,280 and 607,843,812,416 is: 1,322,188,145,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,441,395,280 : 607,843,812,416 = 607,843,812,416 : x
  2. Step 2: Convert to fraction form
    279,441,395,280/607,843,812,416 = 607,843,812,416/x
  3. Step 3: Cross multiply
    279,441,395,280x = 607,843,812,416 × 607,843,812,416
  4. Step 4: Simplify right side
    279,441,395,280x = 369,474,100,292,417,390,379,008
  5. Step 5: Solve for x
    x = 369,474,100,292,417,390,379,008/279,441,395,280
  6. Step 6: Final answer
    x = 1,322,188,145,826.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.