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Finding the Third Proportional to 3,077,404,656.75 and 7,257,375,312.75

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Solution

The third proportional to 3,077,404,656.75 and 7,257,375,312.75 is: 17,114,907,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,404,656.75 : 7,257,375,312.75 = 7,257,375,312.75 : x
  2. Step 2: Convert to fraction form
    3,077,404,656.75/7,257,375,312.75 = 7,257,375,312.75/x
  3. Step 3: Cross multiply
    3,077,404,656.75x = 7,257,375,312.75 × 7,257,375,312.75
  4. Step 4: Simplify right side
    3,077,404,656.75x = 52,669,496,430,113,161,216
  5. Step 5: Solve for x
    x = 52,669,496,430,113,161,216/3,077,404,656.75
  6. Step 6: Final answer
    x = 17,114,907,626.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.