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Finding the Third Proportional to 288,701,152 and 681,283,048

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Solution

The third proportional to 288,701,152 and 681,283,048 is: 1,607,706,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,701,152 : 681,283,048 = 681,283,048 : x
  2. Step 2: Convert to fraction form
    288,701,152/681,283,048 = 681,283,048/x
  3. Step 3: Cross multiply
    288,701,152x = 681,283,048 × 681,283,048
  4. Step 4: Simplify right side
    288,701,152x = 464,146,591,492,170,304
  5. Step 5: Solve for x
    x = 464,146,591,492,170,304/288,701,152
  6. Step 6: Final answer
    x = 1,607,706,059.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.