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Finding the Third Proportional to 2,361,465,695 and 5,466,937,833

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Solution

The third proportional to 2,361,465,695 and 5,466,937,833 is: 12,656,296,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,465,695 : 5,466,937,833 = 5,466,937,833 : x
  2. Step 2: Convert to fraction form
    2,361,465,695/5,466,937,833 = 5,466,937,833/x
  3. Step 3: Cross multiply
    2,361,465,695x = 5,466,937,833 × 5,466,937,833
  4. Step 4: Simplify right side
    2,361,465,695x = 29,887,409,269,886,734,336
  5. Step 5: Solve for x
    x = 29,887,409,269,886,734,336/2,361,465,695
  6. Step 6: Final answer
    x = 12,656,296,186.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.