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Finding the Third Proportional to 6,817,470 and 14,592,573

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Solution

The third proportional to 6,817,470 and 14,592,573 is: 31,234,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,470 : 14,592,573 = 14,592,573 : x
  2. Step 2: Convert to fraction form
    6,817,470/14,592,573 = 14,592,573/x
  3. Step 3: Cross multiply
    6,817,470x = 14,592,573 × 14,592,573
  4. Step 4: Simplify right side
    6,817,470x = 212,943,186,760,329
  5. Step 5: Solve for x
    x = 212,943,186,760,329/6,817,470
  6. Step 6: Final answer
    x = 31,234,928.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.