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Finding the Third Proportional to 2,535,618 and 5,638,164

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Solution

The third proportional to 2,535,618 and 5,638,164 is: 12,536,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,618 : 5,638,164 = 5,638,164 : x
  2. Step 2: Convert to fraction form
    2,535,618/5,638,164 = 5,638,164/x
  3. Step 3: Cross multiply
    2,535,618x = 5,638,164 × 5,638,164
  4. Step 4: Simplify right side
    2,535,618x = 31,788,893,290,896
  5. Step 5: Solve for x
    x = 31,788,893,290,896/2,535,618
  6. Step 6: Final answer
    x = 12,536,941.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.