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Finding the Third Proportional to 6,470,323 and 10,149,148

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Solution

The third proportional to 6,470,323 and 10,149,148 is: 15,919,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470,323 : 10,149,148 = 10,149,148 : x
  2. Step 2: Convert to fraction form
    6,470,323/10,149,148 = 10,149,148/x
  3. Step 3: Cross multiply
    6,470,323x = 10,149,148 × 10,149,148
  4. Step 4: Simplify right side
    6,470,323x = 103,005,205,125,904
  5. Step 5: Solve for x
    x = 103,005,205,125,904/6,470,323
  6. Step 6: Final answer
    x = 15,919,638.81

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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.