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Finding the Third Proportional to 6,168,444,417 and 9,397,297,323

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Solution

The third proportional to 6,168,444,417 and 9,397,297,323 is: 14,316,283,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,444,417 : 9,397,297,323 = 9,397,297,323 : x
  2. Step 2: Convert to fraction form
    6,168,444,417/9,397,297,323 = 9,397,297,323/x
  3. Step 3: Cross multiply
    6,168,444,417x = 9,397,297,323 × 9,397,297,323
  4. Step 4: Simplify right side
    6,168,444,417x = 88,309,196,976,862,969,856
  5. Step 5: Solve for x
    x = 88,309,196,976,862,969,856/6,168,444,417
  6. Step 6: Final answer
    x = 14,316,283,167.52

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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.