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Finding the Third Proportional to 10,905,465 and 22,939,098.75

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Solution

The third proportional to 10,905,465 and 22,939,098.75 is: 48,251,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905,465 : 22,939,098.75 = 22,939,098.75 : x
  2. Step 2: Convert to fraction form
    10,905,465/22,939,098.75 = 22,939,098.75/x
  3. Step 3: Cross multiply
    10,905,465x = 22,939,098.75 × 22,939,098.75
  4. Step 4: Simplify right side
    10,905,465x = 526,202,251,462,251.56
  5. Step 5: Solve for x
    x = 526,202,251,462,251.56/10,905,465
  6. Step 6: Final answer
    x = 48,251,243.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.