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Finding the Third Proportional to 5,716,705,600 and 12,383,125,988

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Solution

The third proportional to 5,716,705,600 and 12,383,125,988 is: 26,823,457,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716,705,600 : 12,383,125,988 = 12,383,125,988 : x
  2. Step 2: Convert to fraction form
    5,716,705,600/12,383,125,988 = 12,383,125,988/x
  3. Step 3: Cross multiply
    5,716,705,600x = 12,383,125,988 × 12,383,125,988
  4. Step 4: Simplify right side
    5,716,705,600x = 153,341,809,234,680,971,264
  5. Step 5: Solve for x
    x = 153,341,809,234,680,971,264/5,716,705,600
  6. Step 6: Final answer
    x = 26,823,457,418.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.