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Finding the Third Proportional to 21,223,106 and 45,834,916

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Solution

The third proportional to 21,223,106 and 45,834,916 is: 98,988,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223,106 : 45,834,916 = 45,834,916 : x
  2. Step 2: Convert to fraction form
    21,223,106/45,834,916 = 45,834,916/x
  3. Step 3: Cross multiply
    21,223,106x = 45,834,916 × 45,834,916
  4. Step 4: Simplify right side
    21,223,106x = 2,100,839,524,727,056
  5. Step 5: Solve for x
    x = 2,100,839,524,727,056/21,223,106
  6. Step 6: Final answer
    x = 98,988,316.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.