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Finding the Third Proportional to 6,303,085 and 9,274,385.50

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Solution

The third proportional to 6,303,085 and 9,274,385.50 is: 13,646,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303,085 : 9,274,385.50 = 9,274,385.50 : x
  2. Step 2: Convert to fraction form
    6,303,085/9,274,385.50 = 9,274,385.50/x
  3. Step 3: Cross multiply
    6,303,085x = 9,274,385.50 × 9,274,385.50
  4. Step 4: Simplify right side
    6,303,085x = 86,014,226,402,610.25
  5. Step 5: Solve for x
    x = 86,014,226,402,610.25/6,303,085
  6. Step 6: Final answer
    x = 13,646,369.42

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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.