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Finding the Third Proportional to 21,450,984 and 46,675,920

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Solution

The third proportional to 21,450,984 and 46,675,920 is: 101,563,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,450,984 : 46,675,920 = 46,675,920 : x
  2. Step 2: Convert to fraction form
    21,450,984/46,675,920 = 46,675,920/x
  3. Step 3: Cross multiply
    21,450,984x = 46,675,920 × 46,675,920
  4. Step 4: Simplify right side
    21,450,984x = 2,178,641,507,846,400
  5. Step 5: Solve for x
    x = 2,178,641,507,846,400/21,450,984
  6. Step 6: Final answer
    x = 101,563,709.52

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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.