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Finding the Third Proportional to 22,602,896 and 49,505,408

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Solution

The third proportional to 22,602,896 and 49,505,408 is: 108,427,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602,896 : 49,505,408 = 49,505,408 : x
  2. Step 2: Convert to fraction form
    22,602,896/49,505,408 = 49,505,408/x
  3. Step 3: Cross multiply
    22,602,896x = 49,505,408 × 49,505,408
  4. Step 4: Simplify right side
    22,602,896x = 2,450,785,421,246,464
  5. Step 5: Solve for x
    x = 2,450,785,421,246,464/22,602,896
  6. Step 6: Final answer
    x = 108,427,938.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.