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Finding the Third Proportional to 6,576,999,356 and 15,346,862,161

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Solution

The third proportional to 6,576,999,356 and 15,346,862,161 is: 35,810,582,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576,999,356 : 15,346,862,161 = 15,346,862,161 : x
  2. Step 2: Convert to fraction form
    6,576,999,356/15,346,862,161 = 15,346,862,161/x
  3. Step 3: Cross multiply
    6,576,999,356x = 15,346,862,161 × 15,346,862,161
  4. Step 4: Simplify right side
    6,576,999,356x = 235,526,178,188,733,579,264
  5. Step 5: Solve for x
    x = 235,526,178,188,733,579,264/6,576,999,356
  6. Step 6: Final answer
    x = 35,810,582,522.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.