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Finding the Third Proportional to 6,478,206 and 14,176,762

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Solution

The third proportional to 6,478,206 and 14,176,762 is: 31,024,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,206 : 14,176,762 = 14,176,762 : x
  2. Step 2: Convert to fraction form
    6,478,206/14,176,762 = 14,176,762/x
  3. Step 3: Cross multiply
    6,478,206x = 14,176,762 × 14,176,762
  4. Step 4: Simplify right side
    6,478,206x = 200,980,580,804,644
  5. Step 5: Solve for x
    x = 200,980,580,804,644/6,478,206
  6. Step 6: Final answer
    x = 31,024,110.81

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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.