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Finding the Third Proportional to 3,416,662,095 and 5,324,748,285

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Solution

The third proportional to 3,416,662,095 and 5,324,748,285 is: 8,298,433,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416,662,095 : 5,324,748,285 = 5,324,748,285 : x
  2. Step 2: Convert to fraction form
    3,416,662,095/5,324,748,285 = 5,324,748,285/x
  3. Step 3: Cross multiply
    3,416,662,095x = 5,324,748,285 × 5,324,748,285
  4. Step 4: Simplify right side
    3,416,662,095x = 28,352,944,298,610,442,240
  5. Step 5: Solve for x
    x = 28,352,944,298,610,442,240/3,416,662,095
  6. Step 6: Final answer
    x = 8,298,433,825.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.