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Finding the Third Proportional to 10,258,079 and 22,218,428.75

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Solution

The third proportional to 10,258,079 and 22,218,428.75 is: 48,123,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,079 : 22,218,428.75 = 22,218,428.75 : x
  2. Step 2: Convert to fraction form
    10,258,079/22,218,428.75 = 22,218,428.75/x
  3. Step 3: Cross multiply
    10,258,079x = 22,218,428.75 × 22,218,428.75
  4. Step 4: Simplify right side
    10,258,079x = 493,658,576,118,826.56
  5. Step 5: Solve for x
    x = 493,658,576,118,826.56/10,258,079
  6. Step 6: Final answer
    x = 48,123,881.30

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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.