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Finding the Third Proportional to 383,175,970.88 and 838,893,557.25

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Solution

The third proportional to 383,175,970.88 and 838,893,557.25 is: 1,836,603,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,175,970.88 : 838,893,557.25 = 838,893,557.25 : x
  2. Step 2: Convert to fraction form
    383,175,970.88/838,893,557.25 = 838,893,557.25/x
  3. Step 3: Cross multiply
    383,175,970.88x = 838,893,557.25 × 838,893,557.25
  4. Step 4: Simplify right side
    383,175,970.88x = 703,742,400,395,559,040
  5. Step 5: Solve for x
    x = 703,742,400,395,559,040/383,175,970.88
  6. Step 6: Final answer
    x = 1,836,603,685.74

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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.