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Finding the Third Proportional to 23,375,097,909 and 50,060,010,987

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Solution

The third proportional to 23,375,097,909 and 50,060,010,987 is: 107,208,308,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,375,097,909 : 50,060,010,987 = 50,060,010,987 : x
  2. Step 2: Convert to fraction form
    23,375,097,909/50,060,010,987 = 50,060,010,987/x
  3. Step 3: Cross multiply
    23,375,097,909x = 50,060,010,987 × 50,060,010,987
  4. Step 4: Simplify right side
    23,375,097,909x = 2,506,004,700,018,560,729,088
  5. Step 5: Solve for x
    x = 2,506,004,700,018,560,729,088/23,375,097,909
  6. Step 6: Final answer
    x = 107,208,308,165.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.