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Finding the Third Proportional to 7,437,826 and 11,484,807

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Solution

The third proportional to 7,437,826 and 11,484,807 is: 17,733,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437,826 : 11,484,807 = 11,484,807 : x
  2. Step 2: Convert to fraction form
    7,437,826/11,484,807 = 11,484,807/x
  3. Step 3: Cross multiply
    7,437,826x = 11,484,807 × 11,484,807
  4. Step 4: Simplify right side
    7,437,826x = 131,900,791,827,249
  5. Step 5: Solve for x
    x = 131,900,791,827,249/7,437,826
  6. Step 6: Final answer
    x = 17,733,782.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.