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Finding the Third Proportional to 384,155,745.75 and 826,575,783.69

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Solution

The third proportional to 384,155,745.75 and 826,575,783.69 is: 1,778,517,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,155,745.75 : 826,575,783.69 = 826,575,783.69 : x
  2. Step 2: Convert to fraction form
    384,155,745.75/826,575,783.69 = 826,575,783.69/x
  3. Step 3: Cross multiply
    384,155,745.75x = 826,575,783.69 × 826,575,783.69
  4. Step 4: Simplify right side
    384,155,745.75x = 683,227,526,178,604,800
  5. Step 5: Solve for x
    x = 683,227,526,178,604,800/384,155,745.75
  6. Step 6: Final answer
    x = 1,778,517,004.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.