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Finding the Third Proportional to 2,428,243,706 and 5,224,775,284

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Solution

The third proportional to 2,428,243,706 and 5,224,775,284 is: 11,241,983,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,243,706 : 5,224,775,284 = 5,224,775,284 : x
  2. Step 2: Convert to fraction form
    2,428,243,706/5,224,775,284 = 5,224,775,284/x
  3. Step 3: Cross multiply
    2,428,243,706x = 5,224,775,284 × 5,224,775,284
  4. Step 4: Simplify right side
    2,428,243,706x = 27,298,276,768,297,279,488
  5. Step 5: Solve for x
    x = 27,298,276,768,297,279,488/2,428,243,706
  6. Step 6: Final answer
    x = 11,241,983,949.49

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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.