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Finding the Third Proportional to 52,395,261,615 and 113,970,714,828.75

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Solution

The third proportional to 52,395,261,615 and 113,970,714,828.75 is: 247,910,277,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,395,261,615 : 113,970,714,828.75 = 113,970,714,828.75 : x
  2. Step 2: Convert to fraction form
    52,395,261,615/113,970,714,828.75 = 113,970,714,828.75/x
  3. Step 3: Cross multiply
    52,395,261,615x = 113,970,714,828.75 × 113,970,714,828.75
  4. Step 4: Simplify right side
    52,395,261,615x = 12,989,323,838,576,255,827,968
  5. Step 5: Solve for x
    x = 12,989,323,838,576,255,827,968/52,395,261,615
  6. Step 6: Final answer
    x = 247,910,277,345.72

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1.5x scale

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.