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Finding the Third Proportional to 288,701,154 and 681,283,052

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Solution

The third proportional to 288,701,154 and 681,283,052 is: 1,607,706,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,701,154 : 681,283,052 = 681,283,052 : x
  2. Step 2: Convert to fraction form
    288,701,154/681,283,052 = 681,283,052/x
  3. Step 3: Cross multiply
    288,701,154x = 681,283,052 × 681,283,052
  4. Step 4: Simplify right side
    288,701,154x = 464,146,596,942,434,688
  5. Step 5: Solve for x
    x = 464,146,596,942,434,688/288,701,154
  6. Step 6: Final answer
    x = 1,607,706,067.37

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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.