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Finding the Third Proportional to 6,553,356.26 and 9,830,035.34

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Solution

The third proportional to 6,553,356.26 and 9,830,035.34 is: 14,745,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,356.26 : 9,830,035.34 = 9,830,035.34 : x
  2. Step 2: Convert to fraction form
    6,553,356.26/9,830,035.34 = 9,830,035.34/x
  3. Step 3: Cross multiply
    6,553,356.26x = 9,830,035.34 × 9,830,035.34
  4. Step 4: Simplify right side
    6,553,356.26x = 96,629,594,705,779.88
  5. Step 5: Solve for x
    x = 96,629,594,705,779.88/6,553,356.26
  6. Step 6: Final answer
    x = 14,745,054.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.