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Finding the Third Proportional to 4,097,943 and 6,014,054.25

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Solution

The third proportional to 4,097,943 and 6,014,054.25 is: 8,826,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,943 : 6,014,054.25 = 6,014,054.25 : x
  2. Step 2: Convert to fraction form
    4,097,943/6,014,054.25 = 6,014,054.25/x
  3. Step 3: Cross multiply
    4,097,943x = 6,014,054.25 × 6,014,054.25
  4. Step 4: Simplify right side
    4,097,943x = 36,168,848,521,943.06
  5. Step 5: Solve for x
    x = 36,168,848,521,943.06/4,097,943
  6. Step 6: Final answer
    x = 8,826,098.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.