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Finding the Third Proportional to 9,128,709 and 19,275,993

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Solution

The third proportional to 9,128,709 and 19,275,993 is: 40,702,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128,709 : 19,275,993 = 19,275,993 : x
  2. Step 2: Convert to fraction form
    9,128,709/19,275,993 = 19,275,993/x
  3. Step 3: Cross multiply
    9,128,709x = 19,275,993 × 19,275,993
  4. Step 4: Simplify right side
    9,128,709x = 371,563,906,136,049
  5. Step 5: Solve for x
    x = 371,563,906,136,049/9,128,709
  6. Step 6: Final answer
    x = 40,702,787.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.