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Finding the Third Proportional to 306,619,595,075 and 670,943,319,650.50

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Solution

The third proportional to 306,619,595,075 and 670,943,319,650.50 is: 1,468,154,499,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,619,595,075 : 670,943,319,650.50 = 670,943,319,650.50 : x
  2. Step 2: Convert to fraction form
    306,619,595,075/670,943,319,650.50 = 670,943,319,650.50/x
  3. Step 3: Cross multiply
    306,619,595,075x = 670,943,319,650.50 × 670,943,319,650.50
  4. Step 4: Simplify right side
    306,619,595,075x = 450,164,938,183,632,993,910,784
  5. Step 5: Solve for x
    x = 450,164,938,183,632,993,910,784/306,619,595,075
  6. Step 6: Final answer
    x = 1,468,154,499,628.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.