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Finding the Third Proportional to 9,163,026 and 13,464,051

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Solution

The third proportional to 9,163,026 and 13,464,051 is: 19,783,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163,026 : 13,464,051 = 13,464,051 : x
  2. Step 2: Convert to fraction form
    9,163,026/13,464,051 = 13,464,051/x
  3. Step 3: Cross multiply
    9,163,026x = 13,464,051 × 13,464,051
  4. Step 4: Simplify right side
    9,163,026x = 181,280,669,330,601
  5. Step 5: Solve for x
    x = 181,280,669,330,601/9,163,026
  6. Step 6: Final answer
    x = 19,783,930.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.