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Finding the Third Proportional to 9,477,146 and 20,467,332

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Solution

The third proportional to 9,477,146 and 20,467,332 is: 44,202,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477,146 : 20,467,332 = 20,467,332 : x
  2. Step 2: Convert to fraction form
    9,477,146/20,467,332 = 20,467,332/x
  3. Step 3: Cross multiply
    9,477,146x = 20,467,332 × 20,467,332
  4. Step 4: Simplify right side
    9,477,146x = 418,911,679,198,224
  5. Step 5: Solve for x
    x = 418,911,679,198,224/9,477,146
  6. Step 6: Final answer
    x = 44,202,303.01

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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.