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Finding the Third Proportional to 822,515,550 and 1,780,457,916

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Solution

The third proportional to 822,515,550 and 1,780,457,916 is: 3,854,067,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,515,550 : 1,780,457,916 = 1,780,457,916 : x
  2. Step 2: Convert to fraction form
    822,515,550/1,780,457,916 = 1,780,457,916/x
  3. Step 3: Cross multiply
    822,515,550x = 1,780,457,916 × 1,780,457,916
  4. Step 4: Simplify right side
    822,515,550x = 3,170,030,390,647,063,040
  5. Step 5: Solve for x
    x = 3,170,030,390,647,063,040/822,515,550
  6. Step 6: Final answer
    x = 3,854,067,428.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.