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Finding the Third Proportional to 9,299,716 and 19,705,728

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Solution

The third proportional to 9,299,716 and 19,705,728 is: 41,755,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299,716 : 19,705,728 = 19,705,728 : x
  2. Step 2: Convert to fraction form
    9,299,716/19,705,728 = 19,705,728/x
  3. Step 3: Cross multiply
    9,299,716x = 19,705,728 × 19,705,728
  4. Step 4: Simplify right side
    9,299,716x = 388,315,716,009,984
  5. Step 5: Solve for x
    x = 388,315,716,009,984/9,299,716
  6. Step 6: Final answer
    x = 41,755,653.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.