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Finding the Third Proportional to 6,685,722 and 14,435,460

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Solution

The third proportional to 6,685,722 and 14,435,460 is: 31,168,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,722 : 14,435,460 = 14,435,460 : x
  2. Step 2: Convert to fraction form
    6,685,722/14,435,460 = 14,435,460/x
  3. Step 3: Cross multiply
    6,685,722x = 14,435,460 × 14,435,460
  4. Step 4: Simplify right side
    6,685,722x = 208,382,505,411,600
  5. Step 5: Solve for x
    x = 208,382,505,411,600/6,685,722
  6. Step 6: Final answer
    x = 31,168,287.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.