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Finding the Third Proportional to 6,478,770 and 10,057,715

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Solution

The third proportional to 6,478,770 and 10,057,715 is: 15,613,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,770 : 10,057,715 = 10,057,715 : x
  2. Step 2: Convert to fraction form
    6,478,770/10,057,715 = 10,057,715/x
  3. Step 3: Cross multiply
    6,478,770x = 10,057,715 × 10,057,715
  4. Step 4: Simplify right side
    6,478,770x = 101,157,631,021,225
  5. Step 5: Solve for x
    x = 101,157,631,021,225/6,478,770
  6. Step 6: Final answer
    x = 15,613,709.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.