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Finding the Third Proportional to 606,273,731,214 and 1,304,500,068,960

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Solution

The third proportional to 606,273,731,214 and 1,304,500,068,960 is: 2,806,851,661,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,273,731,214 : 1,304,500,068,960 = 1,304,500,068,960 : x
  2. Step 2: Convert to fraction form
    606,273,731,214/1,304,500,068,960 = 1,304,500,068,960/x
  3. Step 3: Cross multiply
    606,273,731,214x = 1,304,500,068,960 × 1,304,500,068,960
  4. Step 4: Simplify right side
    606,273,731,214x = 1,701,720,429,916,644,687,478,784
  5. Step 5: Solve for x
    x = 1,701,720,429,916,644,687,478,784/606,273,731,214
  6. Step 6: Final answer
    x = 2,806,851,661,722.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.