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Finding the Third Proportional to 2,563,164 and 5,457,618

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Solution

The third proportional to 2,563,164 and 5,457,618 is: 11,620,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,164 : 5,457,618 = 5,457,618 : x
  2. Step 2: Convert to fraction form
    2,563,164/5,457,618 = 5,457,618/x
  3. Step 3: Cross multiply
    2,563,164x = 5,457,618 × 5,457,618
  4. Step 4: Simplify right side
    2,563,164x = 29,785,594,233,924
  5. Step 5: Solve for x
    x = 29,785,594,233,924/2,563,164
  6. Step 6: Final answer
    x = 11,620,635.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.