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Finding the Third Proportional to 829,079,999,316 and 1,273,789,787,417

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Solution

The third proportional to 829,079,999,316 and 1,273,789,787,417 is: 1,957,037,226,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,079,999,316 : 1,273,789,787,417 = 1,273,789,787,417 : x
  2. Step 2: Convert to fraction form
    829,079,999,316/1,273,789,787,417 = 1,273,789,787,417/x
  3. Step 3: Cross multiply
    829,079,999,316x = 1,273,789,787,417 × 1,273,789,787,417
  4. Step 4: Simplify right side
    829,079,999,316x = 1,622,540,422,527,846,113,607,680
  5. Step 5: Solve for x
    x = 1,622,540,422,527,846,113,607,680/829,079,999,316
  6. Step 6: Final answer
    x = 1,957,037,226,644.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.