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Finding the Third Proportional to 22,102,264 and 46,494,905

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Solution

The third proportional to 22,102,264 and 46,494,905 is: 97,807,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102,264 : 46,494,905 = 46,494,905 : x
  2. Step 2: Convert to fraction form
    22,102,264/46,494,905 = 46,494,905/x
  3. Step 3: Cross multiply
    22,102,264x = 46,494,905 × 46,494,905
  4. Step 4: Simplify right side
    22,102,264x = 2,161,776,190,959,025
  5. Step 5: Solve for x
    x = 2,161,776,190,959,025/22,102,264
  6. Step 6: Final answer
    x = 97,807,907.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.