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Finding the Third Proportional to 6,729,023 and 14,803,222

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Solution

The third proportional to 6,729,023 and 14,803,222 is: 32,565,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,023 : 14,803,222 = 14,803,222 : x
  2. Step 2: Convert to fraction form
    6,729,023/14,803,222 = 14,803,222/x
  3. Step 3: Cross multiply
    6,729,023x = 14,803,222 × 14,803,222
  4. Step 4: Simplify right side
    6,729,023x = 219,135,381,581,284
  5. Step 5: Solve for x
    x = 219,135,381,581,284/6,729,023
  6. Step 6: Final answer
    x = 32,565,705.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.