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Finding the Third Proportional to 226,395,936,432 and 484,595,121,888

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Solution

The third proportional to 226,395,936,432 and 484,595,121,888 is: 1,037,264,342,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,395,936,432 : 484,595,121,888 = 484,595,121,888 : x
  2. Step 2: Convert to fraction form
    226,395,936,432/484,595,121,888 = 484,595,121,888/x
  3. Step 3: Cross multiply
    226,395,936,432x = 484,595,121,888 × 484,595,121,888
  4. Step 4: Simplify right side
    226,395,936,432x = 234,832,432,157,645,562,970,112
  5. Step 5: Solve for x
    x = 234,832,432,157,645,562,970,112/226,395,936,432
  6. Step 6: Final answer
    x = 1,037,264,342,543.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.