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Finding the Third Proportional to 9,843,774 and 15,406,818

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Solution

The third proportional to 9,843,774 and 15,406,818 is: 24,113,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,774 : 15,406,818 = 15,406,818 : x
  2. Step 2: Convert to fraction form
    9,843,774/15,406,818 = 15,406,818/x
  3. Step 3: Cross multiply
    9,843,774x = 15,406,818 × 15,406,818
  4. Step 4: Simplify right side
    9,843,774x = 237,370,040,885,124
  5. Step 5: Solve for x
    x = 237,370,040,885,124/9,843,774
  6. Step 6: Final answer
    x = 24,113,723.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.