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Finding the Third Proportional to 1,433,783,608 and 2,214,349,919

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Solution

The third proportional to 1,433,783,608 and 2,214,349,919 is: 3,419,864,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,783,608 : 2,214,349,919 = 2,214,349,919 : x
  2. Step 2: Convert to fraction form
    1,433,783,608/2,214,349,919 = 2,214,349,919/x
  3. Step 3: Cross multiply
    1,433,783,608x = 2,214,349,919 × 2,214,349,919
  4. Step 4: Simplify right side
    1,433,783,608x = 4,903,345,563,775,306,752
  5. Step 5: Solve for x
    x = 4,903,345,563,775,306,752/1,433,783,608
  6. Step 6: Final answer
    x = 3,419,864,431.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.