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Finding the Third Proportional to 6,159,618 and 9,186,723

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Solution

The third proportional to 6,159,618 and 9,186,723 is: 13,701,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159,618 : 9,186,723 = 9,186,723 : x
  2. Step 2: Convert to fraction form
    6,159,618/9,186,723 = 9,186,723/x
  3. Step 3: Cross multiply
    6,159,618x = 9,186,723 × 9,186,723
  4. Step 4: Simplify right side
    6,159,618x = 84,395,879,478,729
  5. Step 5: Solve for x
    x = 84,395,879,478,729/6,159,618
  6. Step 6: Final answer
    x = 13,701,479.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.