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Finding the Third Proportional to 279,066,874,320 and 612,161,696,880

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Solution

The third proportional to 279,066,874,320 and 612,161,696,880 is: 1,342,839,217,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,066,874,320 : 612,161,696,880 = 612,161,696,880 : x
  2. Step 2: Convert to fraction form
    279,066,874,320/612,161,696,880 = 612,161,696,880/x
  3. Step 3: Cross multiply
    279,066,874,320x = 612,161,696,880 × 612,161,696,880
  4. Step 4: Simplify right side
    279,066,874,320x = 374,741,943,127,001,018,662,912
  5. Step 5: Solve for x
    x = 374,741,943,127,001,018,662,912/279,066,874,320
  6. Step 6: Final answer
    x = 1,342,839,217,446.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.