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Finding the Third Proportional to 577,105,639 and 1,170,269,916

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Solution

The third proportional to 577,105,639 and 1,170,269,916 is: 2,373,103,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,105,639 : 1,170,269,916 = 1,170,269,916 : x
  2. Step 2: Convert to fraction form
    577,105,639/1,170,269,916 = 1,170,269,916/x
  3. Step 3: Cross multiply
    577,105,639x = 1,170,269,916 × 1,170,269,916
  4. Step 4: Simplify right side
    577,105,639x = 1,369,531,676,294,647,040
  5. Step 5: Solve for x
    x = 1,369,531,676,294,647,040/577,105,639
  6. Step 6: Final answer
    x = 2,373,103,958.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.