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Finding the Third Proportional to 13,608,900,271.50 and 21,348,329,611.50

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Solution

The third proportional to 13,608,900,271.50 and 21,348,329,611.50 is: 33,489,199,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608,900,271.50 : 21,348,329,611.50 = 21,348,329,611.50 : x
  2. Step 2: Convert to fraction form
    13,608,900,271.50/21,348,329,611.50 = 21,348,329,611.50/x
  3. Step 3: Cross multiply
    13,608,900,271.50x = 21,348,329,611.50 × 21,348,329,611.50
  4. Step 4: Simplify right side
    13,608,900,271.50x = 455,751,177,201,247,715,328
  5. Step 5: Solve for x
    x = 455,751,177,201,247,715,328/13,608,900,271.50
  6. Step 6: Final answer
    x = 33,489,199,575.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.