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Finding the Third Proportional to 11,071,191 and 15,583,864.50

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Solution

The third proportional to 11,071,191 and 15,583,864.50 is: 21,935,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071,191 : 15,583,864.50 = 15,583,864.50 : x
  2. Step 2: Convert to fraction form
    11,071,191/15,583,864.50 = 15,583,864.50/x
  3. Step 3: Cross multiply
    11,071,191x = 15,583,864.50 × 15,583,864.50
  4. Step 4: Simplify right side
    11,071,191x = 242,856,832,754,360.25
  5. Step 5: Solve for x
    x = 242,856,832,754,360.25/11,071,191
  6. Step 6: Final answer
    x = 21,935,926.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.