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Finding the Third Proportional to 70,812,297,868 and 144,469,119,460

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Solution

The third proportional to 70,812,297,868 and 144,469,119,460 is: 294,741,550,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,812,297,868 : 144,469,119,460 = 144,469,119,460 : x
  2. Step 2: Convert to fraction form
    70,812,297,868/144,469,119,460 = 144,469,119,460/x
  3. Step 3: Cross multiply
    70,812,297,868x = 144,469,119,460 × 144,469,119,460
  4. Step 4: Simplify right side
    70,812,297,868x = 20,871,326,477,547,749,769,216
  5. Step 5: Solve for x
    x = 20,871,326,477,547,749,769,216/70,812,297,868
  6. Step 6: Final answer
    x = 294,741,550,633.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.