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Finding the Third Proportional to 1,847,019,065 and 2,862,371,009

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Solution

The third proportional to 1,847,019,065 and 2,862,371,009 is: 4,435,886,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,019,065 : 2,862,371,009 = 2,862,371,009 : x
  2. Step 2: Convert to fraction form
    1,847,019,065/2,862,371,009 = 2,862,371,009/x
  3. Step 3: Cross multiply
    1,847,019,065x = 2,862,371,009 × 2,862,371,009
  4. Step 4: Simplify right side
    1,847,019,065x = 8,193,167,793,163,677,696
  5. Step 5: Solve for x
    x = 8,193,167,793,163,677,696/1,847,019,065
  6. Step 6: Final answer
    x = 4,435,886,964.25

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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.