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Finding the Third Proportional to 4,307,100 and 6,672,411

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Solution

The third proportional to 4,307,100 and 6,672,411 is: 10,336,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,100 : 6,672,411 = 6,672,411 : x
  2. Step 2: Convert to fraction form
    4,307,100/6,672,411 = 6,672,411/x
  3. Step 3: Cross multiply
    4,307,100x = 6,672,411 × 6,672,411
  4. Step 4: Simplify right side
    4,307,100x = 44,521,068,552,921
  5. Step 5: Solve for x
    x = 44,521,068,552,921/4,307,100
  6. Step 6: Final answer
    x = 10,336,669.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.