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Finding the Third Proportional to 21,354,840 and 46,068,912

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Solution

The third proportional to 21,354,840 and 46,068,912 is: 99,384,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354,840 : 46,068,912 = 46,068,912 : x
  2. Step 2: Convert to fraction form
    21,354,840/46,068,912 = 46,068,912/x
  3. Step 3: Cross multiply
    21,354,840x = 46,068,912 × 46,068,912
  4. Step 4: Simplify right side
    21,354,840x = 2,122,344,652,863,744
  5. Step 5: Solve for x
    x = 2,122,344,652,863,744/21,354,840
  6. Step 6: Final answer
    x = 99,384,713.39

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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.