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Finding the Third Proportional to 14,197,460 and 23,180,718

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Solution

The third proportional to 14,197,460 and 23,180,718 is: 37,848,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197,460 : 23,180,718 = 23,180,718 : x
  2. Step 2: Convert to fraction form
    14,197,460/23,180,718 = 23,180,718/x
  3. Step 3: Cross multiply
    14,197,460x = 23,180,718 × 23,180,718
  4. Step 4: Simplify right side
    14,197,460x = 537,345,686,995,524
  5. Step 5: Solve for x
    x = 537,345,686,995,524/14,197,460
  6. Step 6: Final answer
    x = 37,848,015.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.