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Finding the Third Proportional to 9,435,213 and 14,138,003

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Solution

The third proportional to 9,435,213 and 14,138,003 is: 21,184,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435,213 : 14,138,003 = 14,138,003 : x
  2. Step 2: Convert to fraction form
    9,435,213/14,138,003 = 14,138,003/x
  3. Step 3: Cross multiply
    9,435,213x = 14,138,003 × 14,138,003
  4. Step 4: Simplify right side
    9,435,213x = 199,883,128,828,009
  5. Step 5: Solve for x
    x = 199,883,128,828,009/9,435,213
  6. Step 6: Final answer
    x = 21,184,803.02

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