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Finding the Third Proportional to 47,764,025 and 103,637,446

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Solution

The third proportional to 47,764,025 and 103,637,446 is: 224,870,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,025 : 103,637,446 = 103,637,446 : x
  2. Step 2: Convert to fraction form
    47,764,025/103,637,446 = 103,637,446/x
  3. Step 3: Cross multiply
    47,764,025x = 103,637,446 × 103,637,446
  4. Step 4: Simplify right side
    47,764,025x = 10,740,720,213,402,916
  5. Step 5: Solve for x
    x = 10,740,720,213,402,916/47,764,025
  6. Step 6: Final answer
    x = 224,870,500.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.