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Finding the Third Proportional to 2,980,708,217,168 and 6,483,667,334,176

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Solution

The third proportional to 2,980,708,217,168 and 6,483,667,334,176 is: 14,103,340,225,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,708,217,168 : 6,483,667,334,176 = 6,483,667,334,176 : x
  2. Step 2: Convert to fraction form
    2,980,708,217,168/6,483,667,334,176 = 6,483,667,334,176/x
  3. Step 3: Cross multiply
    2,980,708,217,168x = 6,483,667,334,176 × 6,483,667,334,176
  4. Step 4: Simplify right side
    2,980,708,217,168x = 42,037,942,100,260,919,688,822,784
  5. Step 5: Solve for x
    x = 42,037,942,100,260,919,688,822,784/2,980,708,217,168
  6. Step 6: Final answer
    x = 14,103,340,225,700.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.