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Finding the Third Proportional to 524,775,646.69 and 1,214,888,797.13

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Solution

The third proportional to 524,775,646.69 and 1,214,888,797.13 is: 2,812,544,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,775,646.69 : 1,214,888,797.13 = 1,214,888,797.13 : x
  2. Step 2: Convert to fraction form
    524,775,646.69/1,214,888,797.13 = 1,214,888,797.13/x
  3. Step 3: Cross multiply
    524,775,646.69x = 1,214,888,797.13 × 1,214,888,797.13
  4. Step 4: Simplify right side
    524,775,646.69x = 1,475,954,789,379,829,504
  5. Step 5: Solve for x
    x = 1,475,954,789,379,829,504/524,775,646.69
  6. Step 6: Final answer
    x = 2,812,544,367.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.