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Finding the Third Proportional to 21,574,824 and 46,351,416

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Solution

The third proportional to 21,574,824 and 46,351,416 is: 99,581,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574,824 : 46,351,416 = 46,351,416 : x
  2. Step 2: Convert to fraction form
    21,574,824/46,351,416 = 46,351,416/x
  3. Step 3: Cross multiply
    21,574,824x = 46,351,416 × 46,351,416
  4. Step 4: Simplify right side
    21,574,824x = 2,148,453,765,205,056
  5. Step 5: Solve for x
    x = 2,148,453,765,205,056/21,574,824
  6. Step 6: Final answer
    x = 99,581,519.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.