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Finding the Third Proportional to 1,383,039,729 and 3,018,828,618

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Solution

The third proportional to 1,383,039,729 and 3,018,828,618 is: 6,589,345,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,039,729 : 3,018,828,618 = 3,018,828,618 : x
  2. Step 2: Convert to fraction form
    1,383,039,729/3,018,828,618 = 3,018,828,618/x
  3. Step 3: Cross multiply
    1,383,039,729x = 3,018,828,618 × 3,018,828,618
  4. Step 4: Simplify right side
    1,383,039,729x = 9,113,326,224,855,789,568
  5. Step 5: Solve for x
    x = 9,113,326,224,855,789,568/1,383,039,729
  6. Step 6: Final answer
    x = 6,589,345,218.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.