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Finding the Third Proportional to 6,509,849.34 and 13,999,543.03

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Solution

The third proportional to 6,509,849.34 and 13,999,543.03 is: 30,106,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,849.34 : 13,999,543.03 = 13,999,543.03 : x
  2. Step 2: Convert to fraction form
    6,509,849.34/13,999,543.03 = 13,999,543.03/x
  3. Step 3: Cross multiply
    6,509,849.34x = 13,999,543.03 × 13,999,543.03
  4. Step 4: Simplify right side
    6,509,849.34x = 195,987,205,083,820.44
  5. Step 5: Solve for x
    x = 195,987,205,083,820.44/6,509,849.34
  6. Step 6: Final answer
    x = 30,106,258.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.