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Finding the Third Proportional to 799,413,928 and 1,782,638,928

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Solution

The third proportional to 799,413,928 and 1,782,638,928 is: 3,975,164,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,413,928 : 1,782,638,928 = 1,782,638,928 : x
  2. Step 2: Convert to fraction form
    799,413,928/1,782,638,928 = 1,782,638,928/x
  3. Step 3: Cross multiply
    799,413,928x = 1,782,638,928 × 1,782,638,928
  4. Step 4: Simplify right side
    799,413,928x = 3,177,801,547,620,988,928
  5. Step 5: Solve for x
    x = 3,177,801,547,620,988,928/799,413,928
  6. Step 6: Final answer
    x = 3,975,164,099.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.