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Finding the Third Proportional to 9,024,896 and 19,696,144

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Solution

The third proportional to 9,024,896 and 19,696,144 is: 42,985,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024,896 : 19,696,144 = 19,696,144 : x
  2. Step 2: Convert to fraction form
    9,024,896/19,696,144 = 19,696,144/x
  3. Step 3: Cross multiply
    9,024,896x = 19,696,144 × 19,696,144
  4. Step 4: Simplify right side
    9,024,896x = 387,938,088,468,736
  5. Step 5: Solve for x
    x = 387,938,088,468,736/9,024,896
  6. Step 6: Final answer
    x = 42,985,325.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.