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Finding the Third Proportional to 277,487,277,093 and 441,536,807,457

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Solution

The third proportional to 277,487,277,093 and 441,536,807,457 is: 702,571,859,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487,277,093 : 441,536,807,457 = 441,536,807,457 : x
  2. Step 2: Convert to fraction form
    277,487,277,093/441,536,807,457 = 441,536,807,457/x
  3. Step 3: Cross multiply
    277,487,277,093x = 441,536,807,457 × 441,536,807,457
  4. Step 4: Simplify right side
    277,487,277,093x = 194,954,752,339,319,881,465,856
  5. Step 5: Solve for x
    x = 194,954,752,339,319,881,465,856/277,487,277,093
  6. Step 6: Final answer
    x = 702,571,859,804.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.