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Finding the Third Proportional to 365,235,907.50 and 782,187,677

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Solution

The third proportional to 365,235,907.50 and 782,187,677 is: 1,675,129,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,235,907.50 : 782,187,677 = 782,187,677 : x
  2. Step 2: Convert to fraction form
    365,235,907.50/782,187,677 = 782,187,677/x
  3. Step 3: Cross multiply
    365,235,907.50x = 782,187,677 × 782,187,677
  4. Step 4: Simplify right side
    365,235,907.50x = 611,817,562,050,656,384
  5. Step 5: Solve for x
    x = 611,817,562,050,656,384/365,235,907.50
  6. Step 6: Final answer
    x = 1,675,129,825.65

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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.