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Finding the Third Proportional to 21,637,640 and 45,689,728

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Solution

The third proportional to 21,637,640 and 45,689,728 is: 96,477,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637,640 : 45,689,728 = 45,689,728 : x
  2. Step 2: Convert to fraction form
    21,637,640/45,689,728 = 45,689,728/x
  3. Step 3: Cross multiply
    21,637,640x = 45,689,728 × 45,689,728
  4. Step 4: Simplify right side
    21,637,640x = 2,087,551,244,713,984
  5. Step 5: Solve for x
    x = 2,087,551,244,713,984/21,637,640
  6. Step 6: Final answer
    x = 96,477,769.51

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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.