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Finding the Third Proportional to 49,179,618 and 105,928,072

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Solution

The third proportional to 49,179,618 and 105,928,072 is: 228,158,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,179,618 : 105,928,072 = 105,928,072 : x
  2. Step 2: Convert to fraction form
    49,179,618/105,928,072 = 105,928,072/x
  3. Step 3: Cross multiply
    49,179,618x = 105,928,072 × 105,928,072
  4. Step 4: Simplify right side
    49,179,618x = 11,220,756,437,637,184
  5. Step 5: Solve for x
    x = 11,220,756,437,637,184/49,179,618
  6. Step 6: Final answer
    x = 228,158,674.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.