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Finding the Third Proportional to 5,921,464 and 12,913,824

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Solution

The third proportional to 5,921,464 and 12,913,824 is: 28,163,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,464 : 12,913,824 = 12,913,824 : x
  2. Step 2: Convert to fraction form
    5,921,464/12,913,824 = 12,913,824/x
  3. Step 3: Cross multiply
    5,921,464x = 12,913,824 × 12,913,824
  4. Step 4: Simplify right side
    5,921,464x = 166,766,850,302,976
  5. Step 5: Solve for x
    x = 166,766,850,302,976/5,921,464
  6. Step 6: Final answer
    x = 28,163,111.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.