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Finding the Third Proportional to 9,619,506.84 and 21,162,887.72

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Solution

The third proportional to 9,619,506.84 and 21,162,887.72 is: 46,558,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619,506.84 : 21,162,887.72 = 21,162,887.72 : x
  2. Step 2: Convert to fraction form
    9,619,506.84/21,162,887.72 = 21,162,887.72/x
  3. Step 3: Cross multiply
    9,619,506.84x = 21,162,887.72 × 21,162,887.72
  4. Step 4: Simplify right side
    9,619,506.84x = 447,867,816,596,419.56
  5. Step 5: Solve for x
    x = 447,867,816,596,419.56/9,619,506.84
  6. Step 6: Final answer
    x = 46,558,292.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.