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Finding the Third Proportional to 3,276,211,570 and 4,635,738,915

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Solution

The third proportional to 3,276,211,570 and 4,635,738,915 is: 6,559,428,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276,211,570 : 4,635,738,915 = 4,635,738,915 : x
  2. Step 2: Convert to fraction form
    3,276,211,570/4,635,738,915 = 4,635,738,915/x
  3. Step 3: Cross multiply
    3,276,211,570x = 4,635,738,915 × 4,635,738,915
  4. Step 4: Simplify right side
    3,276,211,570x = 21,490,075,288,045,375,488
  5. Step 5: Solve for x
    x = 21,490,075,288,045,375,488/3,276,211,570
  6. Step 6: Final answer
    x = 6,559,428,421.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.