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Finding the Third Proportional to 670,143,506.25 and 1,033,477,579.50

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Solution

The third proportional to 670,143,506.25 and 1,033,477,579.50 is: 1,593,801,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,143,506.25 : 1,033,477,579.50 = 1,033,477,579.50 : x
  2. Step 2: Convert to fraction form
    670,143,506.25/1,033,477,579.50 = 1,033,477,579.50/x
  3. Step 3: Cross multiply
    670,143,506.25x = 1,033,477,579.50 × 1,033,477,579.50
  4. Step 4: Simplify right side
    670,143,506.25x = 1,068,075,907,329,178,880
  5. Step 5: Solve for x
    x = 1,068,075,907,329,178,880/670,143,506.25
  6. Step 6: Final answer
    x = 1,593,801,771.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.