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Finding the Third Proportional to 1,592,465,744.25 and 2,388,698,866.13

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Solution

The third proportional to 1,592,465,744.25 and 2,388,698,866.13 is: 3,583,048,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,465,744.25 : 2,388,698,866.13 = 2,388,698,866.13 : x
  2. Step 2: Convert to fraction form
    1,592,465,744.25/2,388,698,866.13 = 2,388,698,866.13/x
  3. Step 3: Cross multiply
    1,592,465,744.25x = 2,388,698,866.13 × 2,388,698,866.13
  4. Step 4: Simplify right side
    1,592,465,744.25x = 5,705,882,273,026,861,056
  5. Step 5: Solve for x
    x = 5,705,882,273,026,861,056/1,592,465,744.25
  6. Step 6: Final answer
    x = 3,583,048,673.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.