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Finding the Third Proportional to 46,043,816,315 and 100,195,378,175

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Solution

The third proportional to 46,043,816,315 and 100,195,378,175 is: 218,033,920,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,043,816,315 : 100,195,378,175 = 100,195,378,175 : x
  2. Step 2: Convert to fraction form
    46,043,816,315/100,195,378,175 = 100,195,378,175/x
  3. Step 3: Cross multiply
    46,043,816,315x = 100,195,378,175 × 100,195,378,175
  4. Step 4: Simplify right side
    46,043,816,315x = 10,039,113,807,631,266,873,344
  5. Step 5: Solve for x
    x = 10,039,113,807,631,266,873,344/46,043,816,315
  6. Step 6: Final answer
    x = 218,033,920,971.07

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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.