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Finding the Third Proportional to 383,175,972 and 838,893,584

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Solution

The third proportional to 383,175,972 and 838,893,584 is: 1,836,603,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,175,972 : 838,893,584 = 838,893,584 : x
  2. Step 2: Convert to fraction form
    383,175,972/838,893,584 = 838,893,584/x
  3. Step 3: Cross multiply
    383,175,972x = 838,893,584 × 838,893,584
  4. Step 4: Simplify right side
    383,175,972x = 703,742,445,276,365,056
  5. Step 5: Solve for x
    x = 703,742,445,276,365,056/383,175,972
  6. Step 6: Final answer
    x = 1,836,603,797.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.