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Finding the Third Proportional to 4,214,106 and 9,248,454

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Solution

The third proportional to 4,214,106 and 9,248,454 is: 20,297,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,106 : 9,248,454 = 9,248,454 : x
  2. Step 2: Convert to fraction form
    4,214,106/9,248,454 = 9,248,454/x
  3. Step 3: Cross multiply
    4,214,106x = 9,248,454 × 9,248,454
  4. Step 4: Simplify right side
    4,214,106x = 85,533,901,390,116
  5. Step 5: Solve for x
    x = 85,533,901,390,116/4,214,106
  6. Step 6: Final answer
    x = 20,297,045.54

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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.