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Finding the Third Proportional to 4,148,652 and 6,508,008

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Solution

The third proportional to 4,148,652 and 6,508,008 is: 10,209,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148,652 : 6,508,008 = 6,508,008 : x
  2. Step 2: Convert to fraction form
    4,148,652/6,508,008 = 6,508,008/x
  3. Step 3: Cross multiply
    4,148,652x = 6,508,008 × 6,508,008
  4. Step 4: Simplify right side
    4,148,652x = 42,354,168,128,064
  5. Step 5: Solve for x
    x = 42,354,168,128,064/4,148,652
  6. Step 6: Final answer
    x = 10,209,139.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.