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Finding the Third Proportional to 77,083,927,675 and 117,841,446,901

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Solution

The third proportional to 77,083,927,675 and 117,841,446,901 is: 180,149,183,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083,927,675 : 117,841,446,901 = 117,841,446,901 : x
  2. Step 2: Convert to fraction form
    77,083,927,675/117,841,446,901 = 117,841,446,901/x
  3. Step 3: Cross multiply
    77,083,927,675x = 117,841,446,901 × 117,841,446,901
  4. Step 4: Simplify right side
    77,083,927,675x = 13,886,606,607,721,202,450,432
  5. Step 5: Solve for x
    x = 13,886,606,607,721,202,450,432/77,083,927,675
  6. Step 6: Final answer
    x = 180,149,183,189.91

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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.