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Finding the Third Proportional to 9,142,146 and 19,040,963.63

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Solution

The third proportional to 9,142,146 and 19,040,963.63 is: 39,657,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142,146 : 19,040,963.63 = 19,040,963.63 : x
  2. Step 2: Convert to fraction form
    9,142,146/19,040,963.63 = 19,040,963.63/x
  3. Step 3: Cross multiply
    9,142,146x = 19,040,963.63 × 19,040,963.63
  4. Step 4: Simplify right side
    9,142,146x = 362,558,295,768,573.12
  5. Step 5: Solve for x
    x = 362,558,295,768,573.12/9,142,146
  6. Step 6: Final answer
    x = 39,657,898.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.