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Finding the Third Proportional to 7,761,244 and 16,326,844

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Solution

The third proportional to 7,761,244 and 16,326,844 is: 34,345,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,244 : 16,326,844 = 16,326,844 : x
  2. Step 2: Convert to fraction form
    7,761,244/16,326,844 = 16,326,844/x
  3. Step 3: Cross multiply
    7,761,244x = 16,326,844 × 16,326,844
  4. Step 4: Simplify right side
    7,761,244x = 266,565,835,000,336
  5. Step 5: Solve for x
    x = 266,565,835,000,336/7,761,244
  6. Step 6: Final answer
    x = 34,345,761.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.