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Finding the Third Proportional to 4,707,275,992,548 and 6,731,412,685,686

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Solution

The third proportional to 4,707,275,992,548 and 6,731,412,685,686 is: 9,625,931,603,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,275,992,548 : 6,731,412,685,686 = 6,731,412,685,686 : x
  2. Step 2: Convert to fraction form
    4,707,275,992,548/6,731,412,685,686 = 6,731,412,685,686/x
  3. Step 3: Cross multiply
    4,707,275,992,548x = 6,731,412,685,686 × 6,731,412,685,686
  4. Step 4: Simplify right side
    4,707,275,992,548x = 45,311,916,745,014,408,661,434,368
  5. Step 5: Solve for x
    x = 45,311,916,745,014,408,661,434,368/4,707,275,992,548
  6. Step 6: Final answer
    x = 9,625,931,603,914.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.