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Finding the Third Proportional to 12,613,040 and 19,478,516

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Solution

The third proportional to 12,613,040 and 19,478,516 is: 30,080,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613,040 : 19,478,516 = 19,478,516 : x
  2. Step 2: Convert to fraction form
    12,613,040/19,478,516 = 19,478,516/x
  3. Step 3: Cross multiply
    12,613,040x = 19,478,516 × 19,478,516
  4. Step 4: Simplify right side
    12,613,040x = 379,412,585,562,256
  5. Step 5: Solve for x
    x = 379,412,585,562,256/12,613,040
  6. Step 6: Final answer
    x = 30,080,978.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.