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Finding the Third Proportional to 6,857,055 and 14,602,032

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Solution

The third proportional to 6,857,055 and 14,602,032 is: 31,094,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,055 : 14,602,032 = 14,602,032 : x
  2. Step 2: Convert to fraction form
    6,857,055/14,602,032 = 14,602,032/x
  3. Step 3: Cross multiply
    6,857,055x = 14,602,032 × 14,602,032
  4. Step 4: Simplify right side
    6,857,055x = 213,219,338,529,024
  5. Step 5: Solve for x
    x = 213,219,338,529,024/6,857,055
  6. Step 6: Final answer
    x = 31,094,885.27

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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.