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Finding the Third Proportional to 4,962,068 and 10,684,411

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Solution

The third proportional to 4,962,068 and 10,684,411 is: 23,005,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962,068 : 10,684,411 = 10,684,411 : x
  2. Step 2: Convert to fraction form
    4,962,068/10,684,411 = 10,684,411/x
  3. Step 3: Cross multiply
    4,962,068x = 10,684,411 × 10,684,411
  4. Step 4: Simplify right side
    4,962,068x = 114,156,638,416,921
  5. Step 5: Solve for x
    x = 114,156,638,416,921/4,962,068
  6. Step 6: Final answer
    x = 23,005,859.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.