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Finding the Third Proportional to 7,000,511.50 and 11,431,133.50

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Solution

The third proportional to 7,000,511.50 and 11,431,133.50 is: 18,665,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,511.50 : 11,431,133.50 = 11,431,133.50 : x
  2. Step 2: Convert to fraction form
    7,000,511.50/11,431,133.50 = 11,431,133.50/x
  3. Step 3: Cross multiply
    7,000,511.50x = 11,431,133.50 × 11,431,133.50
  4. Step 4: Simplify right side
    7,000,511.50x = 130,670,813,094,822.25
  5. Step 5: Solve for x
    x = 130,670,813,094,822.25/7,000,511.50
  6. Step 6: Final answer
    x = 18,665,895.07

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.