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Finding the Third Proportional to 9,764,671.50 and 21,389,508

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Solution

The third proportional to 9,764,671.50 and 21,389,508 is: 46,853,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,671.50 : 21,389,508 = 21,389,508 : x
  2. Step 2: Convert to fraction form
    9,764,671.50/21,389,508 = 21,389,508/x
  3. Step 3: Cross multiply
    9,764,671.50x = 21,389,508 × 21,389,508
  4. Step 4: Simplify right side
    9,764,671.50x = 457,511,052,482,064
  5. Step 5: Solve for x
    x = 457,511,052,482,064/9,764,671.50
  6. Step 6: Final answer
    x = 46,853,706.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.