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Finding the Third Proportional to 9,767,701.50 and 21,271,152

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Solution

The third proportional to 9,767,701.50 and 21,271,152 is: 46,322,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767,701.50 : 21,271,152 = 21,271,152 : x
  2. Step 2: Convert to fraction form
    9,767,701.50/21,271,152 = 21,271,152/x
  3. Step 3: Cross multiply
    9,767,701.50x = 21,271,152 × 21,271,152
  4. Step 4: Simplify right side
    9,767,701.50x = 452,461,907,407,104
  5. Step 5: Solve for x
    x = 452,461,907,407,104/9,767,701.50
  6. Step 6: Final answer
    x = 46,322,249.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.