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Finding the Third Proportional to 44,193,216,800 and 94,690,032,440

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Solution

The third proportional to 44,193,216,800 and 94,690,032,440 is: 202,886,390,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,193,216,800 : 94,690,032,440 = 94,690,032,440 : x
  2. Step 2: Convert to fraction form
    44,193,216,800/94,690,032,440 = 94,690,032,440/x
  3. Step 3: Cross multiply
    44,193,216,800x = 94,690,032,440 × 94,690,032,440
  4. Step 4: Simplify right side
    44,193,216,800x = 8,966,202,243,488,252,166,144
  5. Step 5: Solve for x
    x = 8,966,202,243,488,252,166,144/44,193,216,800
  6. Step 6: Final answer
    x = 202,886,390,553.23

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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.