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Finding the Third Proportional to 359,273,322,167 and 773,037,077,838

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Solution

The third proportional to 359,273,322,167 and 773,037,077,838 is: 1,663,319,503,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,273,322,167 : 773,037,077,838 = 773,037,077,838 : x
  2. Step 2: Convert to fraction form
    359,273,322,167/773,037,077,838 = 773,037,077,838/x
  3. Step 3: Cross multiply
    359,273,322,167x = 773,037,077,838 × 773,037,077,838
  4. Step 4: Simplify right side
    359,273,322,167x = 597,586,323,712,314,076,823,552
  5. Step 5: Solve for x
    x = 597,586,323,712,314,076,823,552/359,273,322,167
  6. Step 6: Final answer
    x = 1,663,319,503,123.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.