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Finding the Third Proportional to 1,663,629,314 and 3,604,668,004

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Solution

The third proportional to 1,663,629,314 and 3,604,668,004 is: 7,810,412,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,629,314 : 3,604,668,004 = 3,604,668,004 : x
  2. Step 2: Convert to fraction form
    1,663,629,314/3,604,668,004 = 3,604,668,004/x
  3. Step 3: Cross multiply
    1,663,629,314x = 3,604,668,004 × 3,604,668,004
  4. Step 4: Simplify right side
    1,663,629,314x = 12,993,631,419,061,344,256
  5. Step 5: Solve for x
    x = 12,993,631,419,061,344,256/1,663,629,314
  6. Step 6: Final answer
    x = 7,810,412,638.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.