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Finding the Third Proportional to 17,444,121,567 and 38,045,445,554

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Solution

The third proportional to 17,444,121,567 and 38,045,445,554 is: 82,976,716,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,444,121,567 : 38,045,445,554 = 38,045,445,554 : x
  2. Step 2: Convert to fraction form
    17,444,121,567/38,045,445,554 = 38,045,445,554/x
  3. Step 3: Cross multiply
    17,444,121,567x = 38,045,445,554 × 38,045,445,554
  4. Step 4: Simplify right side
    17,444,121,567x = 1,447,455,927,402,378,297,344
  5. Step 5: Solve for x
    x = 1,447,455,927,402,378,297,344/17,444,121,567
  6. Step 6: Final answer
    x = 82,976,716,359.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.