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Finding the Third Proportional to 453,144,069 and 699,733,706

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Solution

The third proportional to 453,144,069 and 699,733,706 is: 1,080,511,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144,069 : 699,733,706 = 699,733,706 : x
  2. Step 2: Convert to fraction form
    453,144,069/699,733,706 = 699,733,706/x
  3. Step 3: Cross multiply
    453,144,069x = 699,733,706 × 699,733,706
  4. Step 4: Simplify right side
    453,144,069x = 489,627,259,312,494,464
  5. Step 5: Solve for x
    x = 489,627,259,312,494,464/453,144,069
  6. Step 6: Final answer
    x = 1,080,511,238.72

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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.