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Finding the Third Proportional to 2,160,551.25 and 4,656,056.63

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Solution

The third proportional to 2,160,551.25 and 4,656,056.63 is: 10,033,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,551.25 : 4,656,056.63 = 4,656,056.63 : x
  2. Step 2: Convert to fraction form
    2,160,551.25/4,656,056.63 = 4,656,056.63/x
  3. Step 3: Cross multiply
    2,160,551.25x = 4,656,056.63 × 4,656,056.63
  4. Step 4: Simplify right side
    2,160,551.25x = 21,678,863,295,206.39
  5. Step 5: Solve for x
    x = 21,678,863,295,206.39/2,160,551.25
  6. Step 6: Final answer
    x = 10,033,950.04

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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.