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Finding the Third Proportional to 2,445,448,032 and 5,166,915,264

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Solution

The third proportional to 2,445,448,032 and 5,166,915,264 is: 10,917,023,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445,448,032 : 5,166,915,264 = 5,166,915,264 : x
  2. Step 2: Convert to fraction form
    2,445,448,032/5,166,915,264 = 5,166,915,264/x
  3. Step 3: Cross multiply
    2,445,448,032x = 5,166,915,264 × 5,166,915,264
  4. Step 4: Simplify right side
    2,445,448,032x = 26,697,013,345,356,189,696
  5. Step 5: Solve for x
    x = 26,697,013,345,356,189,696/2,445,448,032
  6. Step 6: Final answer
    x = 10,917,023,382.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.