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Finding the Third Proportional to 20,922,400 and 45,147,648

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Solution

The third proportional to 20,922,400 and 45,147,648 is: 97,422,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922,400 : 45,147,648 = 45,147,648 : x
  2. Step 2: Convert to fraction form
    20,922,400/45,147,648 = 45,147,648/x
  3. Step 3: Cross multiply
    20,922,400x = 45,147,648 × 45,147,648
  4. Step 4: Simplify right side
    20,922,400x = 2,038,310,119,931,904
  5. Step 5: Solve for x
    x = 2,038,310,119,931,904/20,922,400
  6. Step 6: Final answer
    x = 97,422,385.57

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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.