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Finding the Third Proportional to 6,153,563,682 and 12,524,598,180

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Solution

The third proportional to 6,153,563,682 and 12,524,598,180 is: 25,491,823,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153,563,682 : 12,524,598,180 = 12,524,598,180 : x
  2. Step 2: Convert to fraction form
    6,153,563,682/12,524,598,180 = 12,524,598,180/x
  3. Step 3: Cross multiply
    6,153,563,682x = 12,524,598,180 × 12,524,598,180
  4. Step 4: Simplify right side
    6,153,563,682x = 156,865,559,570,459,328,512
  5. Step 5: Solve for x
    x = 156,865,559,570,459,328,512/6,153,563,682
  6. Step 6: Final answer
    x = 25,491,823,547.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.