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Finding the Third Proportional to 22,301,168 and 31,405,430

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Solution

The third proportional to 22,301,168 and 31,405,430 is: 44,226,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301,168 : 31,405,430 = 31,405,430 : x
  2. Step 2: Convert to fraction form
    22,301,168/31,405,430 = 31,405,430/x
  3. Step 3: Cross multiply
    22,301,168x = 31,405,430 × 31,405,430
  4. Step 4: Simplify right side
    22,301,168x = 986,301,033,484,900
  5. Step 5: Solve for x
    x = 986,301,033,484,900/22,301,168
  6. Step 6: Final answer
    x = 44,226,429.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.