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Finding the Third Proportional to 46,043,816,317 and 100,195,378,179

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Solution

The third proportional to 46,043,816,317 and 100,195,378,179 is: 218,033,920,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,043,816,317 : 100,195,378,179 = 100,195,378,179 : x
  2. Step 2: Convert to fraction form
    46,043,816,317/100,195,378,179 = 100,195,378,179/x
  3. Step 3: Cross multiply
    46,043,816,317x = 100,195,378,179 × 100,195,378,179
  4. Step 4: Simplify right side
    46,043,816,317x = 10,039,113,808,432,829,825,024
  5. Step 5: Solve for x
    x = 10,039,113,808,432,829,825,024/46,043,816,317
  6. Step 6: Final answer
    x = 218,033,920,979.01

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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.