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Finding the Third Proportional to 363,089,788 and 786,673,400

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Solution

The third proportional to 363,089,788 and 786,673,400 is: 1,704,413,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,089,788 : 786,673,400 = 786,673,400 : x
  2. Step 2: Convert to fraction form
    363,089,788/786,673,400 = 786,673,400/x
  3. Step 3: Cross multiply
    363,089,788x = 786,673,400 × 786,673,400
  4. Step 4: Simplify right side
    363,089,788x = 618,855,038,267,559,936
  5. Step 5: Solve for x
    x = 618,855,038,267,559,936/363,089,788
  6. Step 6: Final answer
    x = 1,704,413,229.79

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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.