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Finding the Third Proportional to 17,772,211,308 and 37,015,418,080

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Solution

The third proportional to 17,772,211,308 and 37,015,418,080 is: 77,094,580,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772,211,308 : 37,015,418,080 = 37,015,418,080 : x
  2. Step 2: Convert to fraction form
    17,772,211,308/37,015,418,080 = 37,015,418,080/x
  3. Step 3: Cross multiply
    17,772,211,308x = 37,015,418,080 × 37,015,418,080
  4. Step 4: Simplify right side
    17,772,211,308x = 1,370,141,175,637,190,901,760
  5. Step 5: Solve for x
    x = 1,370,141,175,637,190,901,760/17,772,211,308
  6. Step 6: Final answer
    x = 77,094,580,516.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.