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Finding the Third Proportional to 2,428,243,680 and 5,224,775,232

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Solution

The third proportional to 2,428,243,680 and 5,224,775,232 is: 11,241,983,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,243,680 : 5,224,775,232 = 5,224,775,232 : x
  2. Step 2: Convert to fraction form
    2,428,243,680/5,224,775,232 = 5,224,775,232/x
  3. Step 3: Cross multiply
    2,428,243,680x = 5,224,775,232 × 5,224,775,232
  4. Step 4: Simplify right side
    2,428,243,680x = 27,298,276,224,920,653,824
  5. Step 5: Solve for x
    x = 27,298,276,224,920,653,824/2,428,243,680
  6. Step 6: Final answer
    x = 11,241,983,846.09

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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.