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Finding the Third Proportional to 19,897,346 and 43,297,824

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Solution

The third proportional to 19,897,346 and 43,297,824 is: 94,218,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897,346 : 43,297,824 = 43,297,824 : x
  2. Step 2: Convert to fraction form
    19,897,346/43,297,824 = 43,297,824/x
  3. Step 3: Cross multiply
    19,897,346x = 43,297,824 × 43,297,824
  4. Step 4: Simplify right side
    19,897,346x = 1,874,701,563,134,976
  5. Step 5: Solve for x
    x = 1,874,701,563,134,976/19,897,346
  6. Step 6: Final answer
    x = 94,218,674.35

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Why These Related Problems?

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