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Finding the Third Proportional to 13,405,642,080 and 28,200,513,216

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Solution

The third proportional to 13,405,642,080 and 28,200,513,216 is: 59,323,450,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405,642,080 : 28,200,513,216 = 28,200,513,216 : x
  2. Step 2: Convert to fraction form
    13,405,642,080/28,200,513,216 = 28,200,513,216/x
  3. Step 3: Cross multiply
    13,405,642,080x = 28,200,513,216 × 28,200,513,216
  4. Step 4: Simplify right side
    13,405,642,080x = 795,268,945,645,790,691,328
  5. Step 5: Solve for x
    x = 795,268,945,645,790,691,328/13,405,642,080
  6. Step 6: Final answer
    x = 59,323,450,596.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.