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Finding the Third Proportional to 21,207,517,850 and 46,138,442,828

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Solution

The third proportional to 21,207,517,850 and 46,138,442,828 is: 100,377,419,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207,517,850 : 46,138,442,828 = 46,138,442,828 : x
  2. Step 2: Convert to fraction form
    21,207,517,850/46,138,442,828 = 46,138,442,828/x
  3. Step 3: Cross multiply
    21,207,517,850x = 46,138,442,828 × 46,138,442,828
  4. Step 4: Simplify right side
    21,207,517,850x = 2,128,755,906,592,624,607,232
  5. Step 5: Solve for x
    x = 2,128,755,906,592,624,607,232/21,207,517,850
  6. Step 6: Final answer
    x = 100,377,419,066.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.