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Finding the Third Proportional to 84,295,317,523 and 182,025,846,730

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Solution

The third proportional to 84,295,317,523 and 182,025,846,730 is: 393,063,456,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,295,317,523 : 182,025,846,730 = 182,025,846,730 : x
  2. Step 2: Convert to fraction form
    84,295,317,523/182,025,846,730 = 182,025,846,730/x
  3. Step 3: Cross multiply
    84,295,317,523x = 182,025,846,730 × 182,025,846,730
  4. Step 4: Simplify right side
    84,295,317,523x = 33,133,408,877,773,452,214,272
  5. Step 5: Solve for x
    x = 33,133,408,877,773,452,214,272/84,295,317,523
  6. Step 6: Final answer
    x = 393,063,456,564.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.