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Finding the Third Proportional to 21,324,768 and 46,053,648

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Solution

The third proportional to 21,324,768 and 46,053,648 is: 99,458,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324,768 : 46,053,648 = 46,053,648 : x
  2. Step 2: Convert to fraction form
    21,324,768/46,053,648 = 46,053,648/x
  3. Step 3: Cross multiply
    21,324,768x = 46,053,648 × 46,053,648
  4. Step 4: Simplify right side
    21,324,768x = 2,120,938,494,107,904
  5. Step 5: Solve for x
    x = 2,120,938,494,107,904/21,324,768
  6. Step 6: Final answer
    x = 99,458,924.67

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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.