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Finding the Third Proportional to 7,589,709,425,074 and 11,562,397,316,656

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Solution

The third proportional to 7,589,709,425,074 and 11,562,397,316,656 is: 17,614,512,522,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,709,425,074 : 11,562,397,316,656 = 11,562,397,316,656 : x
  2. Step 2: Convert to fraction form
    7,589,709,425,074/11,562,397,316,656 = 11,562,397,316,656/x
  3. Step 3: Cross multiply
    7,589,709,425,074x = 11,562,397,316,656 × 11,562,397,316,656
  4. Step 4: Simplify right side
    7,589,709,425,074x = 133,689,031,708,213,864,478,801,920
  5. Step 5: Solve for x
    x = 133,689,031,708,213,864,478,801,920/7,589,709,425,074
  6. Step 6: Final answer
    x = 17,614,512,522,251.19

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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.