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Finding the Third Proportional to 6,283,696 and 9,670,494

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Solution

The third proportional to 6,283,696 and 9,670,494 is: 14,882,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,696 : 9,670,494 = 9,670,494 : x
  2. Step 2: Convert to fraction form
    6,283,696/9,670,494 = 9,670,494/x
  3. Step 3: Cross multiply
    6,283,696x = 9,670,494 × 9,670,494
  4. Step 4: Simplify right side
    6,283,696x = 93,518,454,204,036
  5. Step 5: Solve for x
    x = 93,518,454,204,036/6,283,696
  6. Step 6: Final answer
    x = 14,882,714.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.