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Finding the Third Proportional to 382,434,246 and 845,257,225

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Solution

The third proportional to 382,434,246 and 845,257,225 is: 1,868,189,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,434,246 : 845,257,225 = 845,257,225 : x
  2. Step 2: Convert to fraction form
    382,434,246/845,257,225 = 845,257,225/x
  3. Step 3: Cross multiply
    382,434,246x = 845,257,225 × 845,257,225
  4. Step 4: Simplify right side
    382,434,246x = 714,459,776,414,700,672
  5. Step 5: Solve for x
    x = 714,459,776,414,700,672/382,434,246
  6. Step 6: Final answer
    x = 1,868,189,849.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.