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Finding the Third Proportional to 5,258,511 and 7,922,370

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Solution

The third proportional to 5,258,511 and 7,922,370 is: 11,935,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258,511 : 7,922,370 = 7,922,370 : x
  2. Step 2: Convert to fraction form
    5,258,511/7,922,370 = 7,922,370/x
  3. Step 3: Cross multiply
    5,258,511x = 7,922,370 × 7,922,370
  4. Step 4: Simplify right side
    5,258,511x = 62,763,946,416,900
  5. Step 5: Solve for x
    x = 62,763,946,416,900/5,258,511
  6. Step 6: Final answer
    x = 11,935,687.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.