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Finding the Third Proportional to 6,841,684 and 14,768,120

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Solution

The third proportional to 6,841,684 and 14,768,120 is: 31,877,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,684 : 14,768,120 = 14,768,120 : x
  2. Step 2: Convert to fraction form
    6,841,684/14,768,120 = 14,768,120/x
  3. Step 3: Cross multiply
    6,841,684x = 14,768,120 × 14,768,120
  4. Step 4: Simplify right side
    6,841,684x = 218,097,368,334,400
  5. Step 5: Solve for x
    x = 218,097,368,334,400/6,841,684
  6. Step 6: Final answer
    x = 31,877,731.91

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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.