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Finding the Third Proportional to 17,384,213,750.50 and 37,656,445,746.50

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Solution

The third proportional to 17,384,213,750.50 and 37,656,445,746.50 is: 81,568,710,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384,213,750.50 : 37,656,445,746.50 = 37,656,445,746.50 : x
  2. Step 2: Convert to fraction form
    17,384,213,750.50/37,656,445,746.50 = 37,656,445,746.50/x
  3. Step 3: Cross multiply
    17,384,213,750.50x = 37,656,445,746.50 × 37,656,445,746.50
  4. Step 4: Simplify right side
    17,384,213,750.50x = 1,418,007,906,259,097,878,528
  5. Step 5: Solve for x
    x = 1,418,007,906,259,097,878,528/17,384,213,750.50
  6. Step 6: Final answer
    x = 81,568,710,935.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.