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Finding the Third Proportional to 6,879,408 and 14,323,464

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Solution

The third proportional to 6,879,408 and 14,323,464 is: 29,822,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879,408 : 14,323,464 = 14,323,464 : x
  2. Step 2: Convert to fraction form
    6,879,408/14,323,464 = 14,323,464/x
  3. Step 3: Cross multiply
    6,879,408x = 14,323,464 × 14,323,464
  4. Step 4: Simplify right side
    6,879,408x = 205,161,620,959,296
  5. Step 5: Solve for x
    x = 205,161,620,959,296/6,879,408
  6. Step 6: Final answer
    x = 29,822,569.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.