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Finding the Third Proportional to 3,854,716,097 and 5,200,917,031

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Solution

The third proportional to 3,854,716,097 and 5,200,917,031 is: 7,017,258,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854,716,097 : 5,200,917,031 = 5,200,917,031 : x
  2. Step 2: Convert to fraction form
    3,854,716,097/5,200,917,031 = 5,200,917,031/x
  3. Step 3: Cross multiply
    3,854,716,097x = 5,200,917,031 × 5,200,917,031
  4. Step 4: Simplify right side
    3,854,716,097x = 27,049,537,963,345,854,464
  5. Step 5: Solve for x
    x = 27,049,537,963,345,854,464/3,854,716,097
  6. Step 6: Final answer
    x = 7,017,258,154.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.