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Finding the Third Proportional to 20,922,416 and 45,147,680

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Solution

The third proportional to 20,922,416 and 45,147,680 is: 97,422,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922,416 : 45,147,680 = 45,147,680 : x
  2. Step 2: Convert to fraction form
    20,922,416/45,147,680 = 45,147,680/x
  3. Step 3: Cross multiply
    20,922,416x = 45,147,680 × 45,147,680
  4. Step 4: Simplify right side
    20,922,416x = 2,038,313,009,382,400
  5. Step 5: Solve for x
    x = 2,038,313,009,382,400/20,922,416
  6. Step 6: Final answer
    x = 97,422,449.18

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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.