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Finding the Third Proportional to 2,334,618 and 5,112,117

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Solution

The third proportional to 2,334,618 and 5,112,117 is: 11,194,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334,618 : 5,112,117 = 5,112,117 : x
  2. Step 2: Convert to fraction form
    2,334,618/5,112,117 = 5,112,117/x
  3. Step 3: Cross multiply
    2,334,618x = 5,112,117 × 5,112,117
  4. Step 4: Simplify right side
    2,334,618x = 26,133,740,221,689
  5. Step 5: Solve for x
    x = 26,133,740,221,689/2,334,618
  6. Step 6: Final answer
    x = 11,194,011.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.