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Finding the Third Proportional to 2,220,966,099 and 4,824,254,790

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Solution

The third proportional to 2,220,966,099 and 4,824,254,790 is: 10,478,968,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,966,099 : 4,824,254,790 = 4,824,254,790 : x
  2. Step 2: Convert to fraction form
    2,220,966,099/4,824,254,790 = 4,824,254,790/x
  3. Step 3: Cross multiply
    2,220,966,099x = 4,824,254,790 × 4,824,254,790
  4. Step 4: Simplify right side
    2,220,966,099x = 23,273,434,278,837,944,320
  5. Step 5: Solve for x
    x = 23,273,434,278,837,944,320/2,220,966,099
  6. Step 6: Final answer
    x = 10,478,968,719.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.