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Finding the Third Proportional to 720,453,024 and 1,699,028,400

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Solution

The third proportional to 720,453,024 and 1,699,028,400 is: 4,006,781,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,453,024 : 1,699,028,400 = 1,699,028,400 : x
  2. Step 2: Convert to fraction form
    720,453,024/1,699,028,400 = 1,699,028,400/x
  3. Step 3: Cross multiply
    720,453,024x = 1,699,028,400 × 1,699,028,400
  4. Step 4: Simplify right side
    720,453,024x = 2,886,697,504,006,559,744
  5. Step 5: Solve for x
    x = 2,886,697,504,006,559,744/720,453,024
  6. Step 6: Final answer
    x = 4,006,781,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.