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Finding the Third Proportional to 7,430,906 and 10,464,285

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Solution

The third proportional to 7,430,906 and 10,464,285 is: 14,735,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430,906 : 10,464,285 = 10,464,285 : x
  2. Step 2: Convert to fraction form
    7,430,906/10,464,285 = 10,464,285/x
  3. Step 3: Cross multiply
    7,430,906x = 10,464,285 × 10,464,285
  4. Step 4: Simplify right side
    7,430,906x = 109,501,260,561,225
  5. Step 5: Solve for x
    x = 109,501,260,561,225/7,430,906
  6. Step 6: Final answer
    x = 14,735,923.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.