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Finding the Third Proportional to 8,278,539,245,098.50 and 18,014,826,664,437

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Solution

The third proportional to 8,278,539,245,098.50 and 18,014,826,664,437 is: 39,201,841,066,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278,539,245,098.50 : 18,014,826,664,437 = 18,014,826,664,437 : x
  2. Step 2: Convert to fraction form
    8,278,539,245,098.50/18,014,826,664,437 = 18,014,826,664,437/x
  3. Step 3: Cross multiply
    8,278,539,245,098.50x = 18,014,826,664,437 × 18,014,826,664,437
  4. Step 4: Simplify right side
    8,278,539,245,098.50x = 324,533,979,749,710,312,373,223,424
  5. Step 5: Solve for x
    x = 324,533,979,749,710,312,373,223,424/8,278,539,245,098.50
  6. Step 6: Final answer
    x = 39,201,841,066,569.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.