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Finding the Third Proportional to 6,857,057 and 14,602,036

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Solution

The third proportional to 6,857,057 and 14,602,036 is: 31,094,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,057 : 14,602,036 = 14,602,036 : x
  2. Step 2: Convert to fraction form
    6,857,057/14,602,036 = 14,602,036/x
  3. Step 3: Cross multiply
    6,857,057x = 14,602,036 × 14,602,036
  4. Step 4: Simplify right side
    6,857,057x = 213,219,455,345,296
  5. Step 5: Solve for x
    x = 213,219,455,345,296/6,857,057
  6. Step 6: Final answer
    x = 31,094,893.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.