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Finding the Third Proportional to 344,696,481 and 737,813,121

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Solution

The third proportional to 344,696,481 and 737,813,121 is: 1,579,268,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,696,481 : 737,813,121 = 737,813,121 : x
  2. Step 2: Convert to fraction form
    344,696,481/737,813,121 = 737,813,121/x
  3. Step 3: Cross multiply
    344,696,481x = 737,813,121 × 737,813,121
  4. Step 4: Simplify right side
    344,696,481x = 544,368,201,519,760,640
  5. Step 5: Solve for x
    x = 544,368,201,519,760,640/344,696,481
  6. Step 6: Final answer
    x = 1,579,268,230.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.