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Finding the Third Proportional to 6,478,768 and 10,057,712

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Solution

The third proportional to 6,478,768 and 10,057,712 is: 15,613,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,768 : 10,057,712 = 10,057,712 : x
  2. Step 2: Convert to fraction form
    6,478,768/10,057,712 = 10,057,712/x
  3. Step 3: Cross multiply
    6,478,768x = 10,057,712 × 10,057,712
  4. Step 4: Simplify right side
    6,478,768x = 101,157,570,674,944
  5. Step 5: Solve for x
    x = 101,157,570,674,944/6,478,768
  6. Step 6: Final answer
    x = 15,613,704.75

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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.