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Finding the Third Proportional to 846,654,450,933 and 1,294,277,376,446

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Solution

The third proportional to 846,654,450,933 and 1,294,277,376,446 is: 1,978,556,807,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,654,450,933 : 1,294,277,376,446 = 1,294,277,376,446 : x
  2. Step 2: Convert to fraction form
    846,654,450,933/1,294,277,376,446 = 1,294,277,376,446/x
  3. Step 3: Cross multiply
    846,654,450,933x = 1,294,277,376,446 × 1,294,277,376,446
  4. Step 4: Simplify right side
    846,654,450,933x = 1,675,153,927,179,940,768,251,904
  5. Step 5: Solve for x
    x = 1,675,153,927,179,940,768,251,904/846,654,450,933
  6. Step 6: Final answer
    x = 1,978,556,807,129.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.