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Finding the Third Proportional to 9,096,753 and 19,728,362

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Solution

The third proportional to 9,096,753 and 19,728,362 is: 42,785,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,753 : 19,728,362 = 19,728,362 : x
  2. Step 2: Convert to fraction form
    9,096,753/19,728,362 = 19,728,362/x
  3. Step 3: Cross multiply
    9,096,753x = 19,728,362 × 19,728,362
  4. Step 4: Simplify right side
    9,096,753x = 389,208,267,203,044
  5. Step 5: Solve for x
    x = 389,208,267,203,044/9,096,753
  6. Step 6: Final answer
    x = 42,785,405.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.