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Finding the Third Proportional to 1,847,019,064 and 2,862,371,006

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Solution

The third proportional to 1,847,019,064 and 2,862,371,006 is: 4,435,886,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,019,064 : 2,862,371,006 = 2,862,371,006 : x
  2. Step 2: Convert to fraction form
    1,847,019,064/2,862,371,006 = 2,862,371,006/x
  3. Step 3: Cross multiply
    1,847,019,064x = 2,862,371,006 × 2,862,371,006
  4. Step 4: Simplify right side
    1,847,019,064x = 8,193,167,775,989,451,776
  5. Step 5: Solve for x
    x = 8,193,167,775,989,451,776/1,847,019,064
  6. Step 6: Final answer
    x = 4,435,886,957.36

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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.