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Finding the Third Proportional to 8,381,840,688 and 13,968,892,584

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Solution

The third proportional to 8,381,840,688 and 13,968,892,584 is: 23,280,084,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,840,688 : 13,968,892,584 = 13,968,892,584 : x
  2. Step 2: Convert to fraction form
    8,381,840,688/13,968,892,584 = 13,968,892,584/x
  3. Step 3: Cross multiply
    8,381,840,688x = 13,968,892,584 × 13,968,892,584
  4. Step 4: Simplify right side
    8,381,840,688x = 195,129,960,023,330,193,408
  5. Step 5: Solve for x
    x = 195,129,960,023,330,193,408/8,381,840,688
  6. Step 6: Final answer
    x = 23,280,084,564.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.