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Finding the Third Proportional to 6,492,024 and 14,112,540

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Solution

The third proportional to 6,492,024 and 14,112,540 is: 30,678,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492,024 : 14,112,540 = 14,112,540 : x
  2. Step 2: Convert to fraction form
    6,492,024/14,112,540 = 14,112,540/x
  3. Step 3: Cross multiply
    6,492,024x = 14,112,540 × 14,112,540
  4. Step 4: Simplify right side
    6,492,024x = 199,163,785,251,600
  5. Step 5: Solve for x
    x = 199,163,785,251,600/6,492,024
  6. Step 6: Final answer
    x = 30,678,226.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.