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Finding the Third Proportional to 365,235,906.50 and 782,187,675.50

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Solution

The third proportional to 365,235,906.50 and 782,187,675.50 is: 1,675,129,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,235,906.50 : 782,187,675.50 = 782,187,675.50 : x
  2. Step 2: Convert to fraction form
    365,235,906.50/782,187,675.50 = 782,187,675.50/x
  3. Step 3: Cross multiply
    365,235,906.50x = 782,187,675.50 × 782,187,675.50
  4. Step 4: Simplify right side
    365,235,906.50x = 611,817,559,704,093,312
  5. Step 5: Solve for x
    x = 611,817,559,704,093,312/365,235,906.50
  6. Step 6: Final answer
    x = 1,675,129,823.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.