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Finding the Third Proportional to 5,996,807,449,356 and 9,135,721,340,082

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Solution

The third proportional to 5,996,807,449,356 and 9,135,721,340,082 is: 13,917,639,528,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996,807,449,356 : 9,135,721,340,082 = 9,135,721,340,082 : x
  2. Step 2: Convert to fraction form
    5,996,807,449,356/9,135,721,340,082 = 9,135,721,340,082/x
  3. Step 3: Cross multiply
    5,996,807,449,356x = 9,135,721,340,082 × 9,135,721,340,082
  4. Step 4: Simplify right side
    5,996,807,449,356x = 83,461,404,403,629,647,986,688,000
  5. Step 5: Solve for x
    x = 83,461,404,403,629,647,986,688,000/5,996,807,449,356
  6. Step 6: Final answer
    x = 13,917,639,528,778.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.