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Finding the Third Proportional to 1,894,747,802 and 2,842,121,703

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Solution

The third proportional to 1,894,747,802 and 2,842,121,703 is: 4,263,182,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,747,802 : 2,842,121,703 = 2,842,121,703 : x
  2. Step 2: Convert to fraction form
    1,894,747,802/2,842,121,703 = 2,842,121,703/x
  3. Step 3: Cross multiply
    1,894,747,802x = 2,842,121,703 × 2,842,121,703
  4. Step 4: Simplify right side
    1,894,747,802x = 8,077,655,774,663,620,608
  5. Step 5: Solve for x
    x = 8,077,655,774,663,620,608/1,894,747,802
  6. Step 6: Final answer
    x = 4,263,182,554.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.