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Finding the Third Proportional to 5,578,378 and 8,613,618

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Solution

The third proportional to 5,578,378 and 8,613,618 is: 13,300,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578,378 : 8,613,618 = 8,613,618 : x
  2. Step 2: Convert to fraction form
    5,578,378/8,613,618 = 8,613,618/x
  3. Step 3: Cross multiply
    5,578,378x = 8,613,618 × 8,613,618
  4. Step 4: Simplify right side
    5,578,378x = 74,194,415,049,924
  5. Step 5: Solve for x
    x = 74,194,415,049,924/5,578,378
  6. Step 6: Final answer
    x = 13,300,356.31

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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.