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Finding the Third Proportional to 522,681,440 and 1,137,538,328

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Solution

The third proportional to 522,681,440 and 1,137,538,328 is: 2,475,682,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,681,440 : 1,137,538,328 = 1,137,538,328 : x
  2. Step 2: Convert to fraction form
    522,681,440/1,137,538,328 = 1,137,538,328/x
  3. Step 3: Cross multiply
    522,681,440x = 1,137,538,328 × 1,137,538,328
  4. Step 4: Simplify right side
    522,681,440x = 1,293,993,447,669,035,520
  5. Step 5: Solve for x
    x = 1,293,993,447,669,035,520/522,681,440
  6. Step 6: Final answer
    x = 2,475,682,793.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.