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Finding the Third Proportional to 6,483,618 and 13,972,770

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Solution

The third proportional to 6,483,618 and 13,972,770 is: 30,112,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483,618 : 13,972,770 = 13,972,770 : x
  2. Step 2: Convert to fraction form
    6,483,618/13,972,770 = 13,972,770/x
  3. Step 3: Cross multiply
    6,483,618x = 13,972,770 × 13,972,770
  4. Step 4: Simplify right side
    6,483,618x = 195,238,301,472,900
  5. Step 5: Solve for x
    x = 195,238,301,472,900/6,483,618
  6. Step 6: Final answer
    x = 30,112,554.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.