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Finding the Third Proportional to 13,087,020 and 19,984,824

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Solution

The third proportional to 13,087,020 and 19,984,824 is: 30,518,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087,020 : 19,984,824 = 19,984,824 : x
  2. Step 2: Convert to fraction form
    13,087,020/19,984,824 = 19,984,824/x
  3. Step 3: Cross multiply
    13,087,020x = 19,984,824 × 19,984,824
  4. Step 4: Simplify right side
    13,087,020x = 399,393,190,310,976
  5. Step 5: Solve for x
    x = 399,393,190,310,976/13,087,020
  6. Step 6: Final answer
    x = 30,518,268.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.