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Finding the Third Proportional to 7,464,960 and 16,376,256

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Solution

The third proportional to 7,464,960 and 16,376,256 is: 35,925,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464,960 : 16,376,256 = 16,376,256 : x
  2. Step 2: Convert to fraction form
    7,464,960/16,376,256 = 16,376,256/x
  3. Step 3: Cross multiply
    7,464,960x = 16,376,256 × 16,376,256
  4. Step 4: Simplify right side
    7,464,960x = 268,181,760,577,536
  5. Step 5: Solve for x
    x = 268,181,760,577,536/7,464,960
  6. Step 6: Final answer
    x = 35,925,411.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.