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Finding the Third Proportional to 2,414,954,841 and 3,624,988,317

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Solution

The third proportional to 2,414,954,841 and 3,624,988,317 is: 5,441,319,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,954,841 : 3,624,988,317 = 3,624,988,317 : x
  2. Step 2: Convert to fraction form
    2,414,954,841/3,624,988,317 = 3,624,988,317/x
  3. Step 3: Cross multiply
    2,414,954,841x = 3,624,988,317 × 3,624,988,317
  4. Step 4: Simplify right side
    2,414,954,841x = 13,140,540,298,386,493,440
  5. Step 5: Solve for x
    x = 13,140,540,298,386,493,440/2,414,954,841
  6. Step 6: Final answer
    x = 5,441,319,264.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.