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Finding the Third Proportional to 1,847,019,162 and 2,862,371,154

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Solution

The third proportional to 1,847,019,162 and 2,862,371,154 is: 4,435,887,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,019,162 : 2,862,371,154 = 2,862,371,154 : x
  2. Step 2: Convert to fraction form
    1,847,019,162/2,862,371,154 = 2,862,371,154/x
  3. Step 3: Cross multiply
    1,847,019,162x = 2,862,371,154 × 2,862,371,154
  4. Step 4: Simplify right side
    1,847,019,162x = 8,193,168,623,251,292,160
  5. Step 5: Solve for x
    x = 8,193,168,623,251,292,160/1,847,019,162
  6. Step 6: Final answer
    x = 4,435,887,180.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.