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Finding the Third Proportional to 567,740,558,448 and 1,221,589,456,257

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Solution

The third proportional to 567,740,558,448 and 1,221,589,456,257 is: 2,628,455,510,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,740,558,448 : 1,221,589,456,257 = 1,221,589,456,257 : x
  2. Step 2: Convert to fraction form
    567,740,558,448/1,221,589,456,257 = 1,221,589,456,257/x
  3. Step 3: Cross multiply
    567,740,558,448x = 1,221,589,456,257 × 1,221,589,456,257
  4. Step 4: Simplify right side
    567,740,558,448x = 1,492,280,799,638,272,784,465,920
  5. Step 5: Solve for x
    x = 1,492,280,799,638,272,784,465,920/567,740,558,448
  6. Step 6: Final answer
    x = 2,628,455,510,942.60

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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.