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Finding the Third Proportional to 1,294,770,036 and 1,892,999,070

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Solution

The third proportional to 1,294,770,036 and 1,892,999,070 is: 2,767,630,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,770,036 : 1,892,999,070 = 1,892,999,070 : x
  2. Step 2: Convert to fraction form
    1,294,770,036/1,892,999,070 = 1,892,999,070/x
  3. Step 3: Cross multiply
    1,294,770,036x = 1,892,999,070 × 1,892,999,070
  4. Step 4: Simplify right side
    1,294,770,036x = 3,583,445,479,020,865,024
  5. Step 5: Solve for x
    x = 3,583,445,479,020,865,024/1,294,770,036
  6. Step 6: Final answer
    x = 2,767,630,837.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.