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Finding the Third Proportional to 236,106,962,746 and 509,836,479,940

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Solution

The third proportional to 236,106,962,746 and 509,836,479,940 is: 1,100,913,049,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,106,962,746 : 509,836,479,940 = 509,836,479,940 : x
  2. Step 2: Convert to fraction form
    236,106,962,746/509,836,479,940 = 509,836,479,940/x
  3. Step 3: Cross multiply
    236,106,962,746x = 509,836,479,940 × 509,836,479,940
  4. Step 4: Simplify right side
    236,106,962,746x = 259,933,236,277,610,037,641,216
  5. Step 5: Solve for x
    x = 259,933,236,277,610,037,641,216/236,106,962,746
  6. Step 6: Final answer
    x = 1,100,913,049,130.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.