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Finding the Third Proportional to 6,584,832 and 14,376,240

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Solution

The third proportional to 6,584,832 and 14,376,240 is: 31,386,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,832 : 14,376,240 = 14,376,240 : x
  2. Step 2: Convert to fraction form
    6,584,832/14,376,240 = 14,376,240/x
  3. Step 3: Cross multiply
    6,584,832x = 14,376,240 × 14,376,240
  4. Step 4: Simplify right side
    6,584,832x = 206,676,276,537,600
  5. Step 5: Solve for x
    x = 206,676,276,537,600/6,584,832
  6. Step 6: Final answer
    x = 31,386,719.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.