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Finding the Third Proportional to 9,290,412 and 19,432,296

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Solution

The third proportional to 9,290,412 and 19,432,296 is: 40,645,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290,412 : 19,432,296 = 19,432,296 : x
  2. Step 2: Convert to fraction form
    9,290,412/19,432,296 = 19,432,296/x
  3. Step 3: Cross multiply
    9,290,412x = 19,432,296 × 19,432,296
  4. Step 4: Simplify right side
    9,290,412x = 377,614,127,831,616
  5. Step 5: Solve for x
    x = 377,614,127,831,616/9,290,412
  6. Step 6: Final answer
    x = 40,645,573.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.