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Finding the Third Proportional to 16,669,888,483,756 and 36,109,154,282,264

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Solution

The third proportional to 16,669,888,483,756 and 36,109,154,282,264 is: 78,217,141,299,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,669,888,483,756 : 36,109,154,282,264 = 36,109,154,282,264 : x
  2. Step 2: Convert to fraction form
    16,669,888,483,756/36,109,154,282,264 = 36,109,154,282,264/x
  3. Step 3: Cross multiply
    16,669,888,483,756x = 36,109,154,282,264 × 36,109,154,282,264
  4. Step 4: Simplify right side
    16,669,888,483,756x = 1,303,871,022,980,344,464,634,019,840
  5. Step 5: Solve for x
    x = 1,303,871,022,980,344,464,634,019,840/16,669,888,483,756
  6. Step 6: Final answer
    x = 78,217,141,299,469.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.