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Finding the Third Proportional to 1,847,019,176 and 2,862,371,160

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Solution

The third proportional to 1,847,019,176 and 2,862,371,160 is: 4,435,887,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,019,176 : 2,862,371,160 = 2,862,371,160 : x
  2. Step 2: Convert to fraction form
    1,847,019,176/2,862,371,160 = 2,862,371,160/x
  3. Step 3: Cross multiply
    1,847,019,176x = 2,862,371,160 × 2,862,371,160
  4. Step 4: Simplify right side
    1,847,019,176x = 8,193,168,657,599,746,048
  5. Step 5: Solve for x
    x = 8,193,168,657,599,746,048/1,847,019,176
  6. Step 6: Final answer
    x = 4,435,887,165.69

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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.