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Finding the Third Proportional to 22,102,260 and 46,494,897

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Solution

The third proportional to 22,102,260 and 46,494,897 is: 97,807,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102,260 : 46,494,897 = 46,494,897 : x
  2. Step 2: Convert to fraction form
    22,102,260/46,494,897 = 46,494,897/x
  3. Step 3: Cross multiply
    22,102,260x = 46,494,897 × 46,494,897
  4. Step 4: Simplify right side
    22,102,260x = 2,161,775,447,040,609
  5. Step 5: Solve for x
    x = 2,161,775,447,040,609/22,102,260
  6. Step 6: Final answer
    x = 97,807,891.46

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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.