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Finding the Third Proportional to 14,114,271 and 30,618,366

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Solution

The third proportional to 14,114,271 and 30,618,366 is: 66,421,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114,271 : 30,618,366 = 30,618,366 : x
  2. Step 2: Convert to fraction form
    14,114,271/30,618,366 = 30,618,366/x
  3. Step 3: Cross multiply
    14,114,271x = 30,618,366 × 30,618,366
  4. Step 4: Simplify right side
    14,114,271x = 937,484,336,509,956
  5. Step 5: Solve for x
    x = 937,484,336,509,956/14,114,271
  6. Step 6: Final answer
    x = 66,421,024.26

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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.