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Finding the Third Proportional to 753,229,764 and 1,621,880,640

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Solution

The third proportional to 753,229,764 and 1,621,880,640 is: 3,492,290,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,229,764 : 1,621,880,640 = 1,621,880,640 : x
  2. Step 2: Convert to fraction form
    753,229,764/1,621,880,640 = 1,621,880,640/x
  3. Step 3: Cross multiply
    753,229,764x = 1,621,880,640 × 1,621,880,640
  4. Step 4: Simplify right side
    753,229,764x = 2,630,496,810,406,809,600
  5. Step 5: Solve for x
    x = 2,630,496,810,406,809,600/753,229,764
  6. Step 6: Final answer
    x = 3,492,290,050.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.