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Finding the Third Proportional to 11,415,238 and 16,713,319

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Solution

The third proportional to 11,415,238 and 16,713,319 is: 24,470,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415,238 : 16,713,319 = 16,713,319 : x
  2. Step 2: Convert to fraction form
    11,415,238/16,713,319 = 16,713,319/x
  3. Step 3: Cross multiply
    11,415,238x = 16,713,319 × 16,713,319
  4. Step 4: Simplify right side
    11,415,238x = 279,335,031,995,761
  5. Step 5: Solve for x
    x = 279,335,031,995,761/11,415,238
  6. Step 6: Final answer
    x = 24,470,364.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.