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Finding the Third Proportional to 10,180,322 and 21,954,724

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Solution

The third proportional to 10,180,322 and 21,954,724 is: 47,347,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,322 : 21,954,724 = 21,954,724 : x
  2. Step 2: Convert to fraction form
    10,180,322/21,954,724 = 21,954,724/x
  3. Step 3: Cross multiply
    10,180,322x = 21,954,724 × 21,954,724
  4. Step 4: Simplify right side
    10,180,322x = 482,009,905,916,176
  5. Step 5: Solve for x
    x = 482,009,905,916,176/10,180,322
  6. Step 6: Final answer
    x = 47,347,216.12

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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.