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Finding the Third Proportional to 279,441,395,370 and 607,843,812,597

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Solution

The third proportional to 279,441,395,370 and 607,843,812,597 is: 1,322,188,146,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,441,395,370 : 607,843,812,597 = 607,843,812,597 : x
  2. Step 2: Convert to fraction form
    279,441,395,370/607,843,812,597 = 607,843,812,597/x
  3. Step 3: Cross multiply
    279,441,395,370x = 607,843,812,597 × 607,843,812,597
  4. Step 4: Simplify right side
    279,441,395,370x = 369,474,100,512,456,886,452,224
  5. Step 5: Solve for x
    x = 369,474,100,512,456,886,452,224/279,441,395,370
  6. Step 6: Final answer
    x = 1,322,188,146,188.03

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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.