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Finding the Third Proportional to 5,539,827 and 8,509,852.50

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Solution

The third proportional to 5,539,827 and 8,509,852.50 is: 13,072,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539,827 : 8,509,852.50 = 8,509,852.50 : x
  2. Step 2: Convert to fraction form
    5,539,827/8,509,852.50 = 8,509,852.50/x
  3. Step 3: Cross multiply
    5,539,827x = 8,509,852.50 × 8,509,852.50
  4. Step 4: Simplify right side
    5,539,827x = 72,417,589,571,756.25
  5. Step 5: Solve for x
    x = 72,417,589,571,756.25/5,539,827
  6. Step 6: Final answer
    x = 13,072,175.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.