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Finding the Third Proportional to 5,698,968 and 11,630,487

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Solution

The third proportional to 5,698,968 and 11,630,487 is: 23,735,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698,968 : 11,630,487 = 11,630,487 : x
  2. Step 2: Convert to fraction form
    5,698,968/11,630,487 = 11,630,487/x
  3. Step 3: Cross multiply
    5,698,968x = 11,630,487 × 11,630,487
  4. Step 4: Simplify right side
    5,698,968x = 135,268,227,857,169
  5. Step 5: Solve for x
    x = 135,268,227,857,169/5,698,968
  6. Step 6: Final answer
    x = 23,735,565.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.