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Finding the Third Proportional to 25,722,556,080 and 55,719,404,952

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Solution

The third proportional to 25,722,556,080 and 55,719,404,952 is: 120,697,650,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722,556,080 : 55,719,404,952 = 55,719,404,952 : x
  2. Step 2: Convert to fraction form
    25,722,556,080/55,719,404,952 = 55,719,404,952/x
  3. Step 3: Cross multiply
    25,722,556,080x = 55,719,404,952 × 55,719,404,952
  4. Step 4: Simplify right side
    25,722,556,080x = 3,104,652,088,204,962,299,904
  5. Step 5: Solve for x
    x = 3,104,652,088,204,962,299,904/25,722,556,080
  6. Step 6: Final answer
    x = 120,697,650,674.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.