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Finding the Third Proportional to 9,738,673,726.50 and 21,270,362,682

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Solution

The third proportional to 9,738,673,726.50 and 21,270,362,682 is: 46,456,873,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738,673,726.50 : 21,270,362,682 = 21,270,362,682 : x
  2. Step 2: Convert to fraction form
    9,738,673,726.50/21,270,362,682 = 21,270,362,682/x
  3. Step 3: Cross multiply
    9,738,673,726.50x = 21,270,362,682 × 21,270,362,682
  4. Step 4: Simplify right side
    9,738,673,726.50x = 452,428,328,623,818,211,328
  5. Step 5: Solve for x
    x = 452,428,328,623,818,211,328/9,738,673,726.50
  6. Step 6: Final answer
    x = 46,456,873,012.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.