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Finding the Third Proportional to 47,764,069 and 103,637,534

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Solution

The third proportional to 47,764,069 and 103,637,534 is: 224,870,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,069 : 103,637,534 = 103,637,534 : x
  2. Step 2: Convert to fraction form
    47,764,069/103,637,534 = 103,637,534/x
  3. Step 3: Cross multiply
    47,764,069x = 103,637,534 × 103,637,534
  4. Step 4: Simplify right side
    47,764,069x = 10,740,738,453,601,156
  5. Step 5: Solve for x
    x = 10,740,738,453,601,156/47,764,069
  6. Step 6: Final answer
    x = 224,870,675.35

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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.