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Finding the Third Proportional to 30,347,827 and 45,522,711

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Solution

The third proportional to 30,347,827 and 45,522,711 is: 68,285,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347,827 : 45,522,711 = 45,522,711 : x
  2. Step 2: Convert to fraction form
    30,347,827/45,522,711 = 45,522,711/x
  3. Step 3: Cross multiply
    30,347,827x = 45,522,711 × 45,522,711
  4. Step 4: Simplify right side
    30,347,827x = 2,072,317,216,789,521
  5. Step 5: Solve for x
    x = 2,072,317,216,789,521/30,347,827
  6. Step 6: Final answer
    x = 68,285,522.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.