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Finding the Third Proportional to 5,330,495,510,536 and 8,120,641,191,180

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Solution

The third proportional to 5,330,495,510,536 and 8,120,641,191,180 is: 12,371,235,136,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330,495,510,536 : 8,120,641,191,180 = 8,120,641,191,180 : x
  2. Step 2: Convert to fraction form
    5,330,495,510,536/8,120,641,191,180 = 8,120,641,191,180/x
  3. Step 3: Cross multiply
    5,330,495,510,536x = 8,120,641,191,180 × 8,120,641,191,180
  4. Step 4: Simplify right side
    5,330,495,510,536x = 65,944,813,355,889,333,530,263,552
  5. Step 5: Solve for x
    x = 65,944,813,355,889,333,530,263,552/5,330,495,510,536
  6. Step 6: Final answer
    x = 12,371,235,136,685.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.