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Finding the Third Proportional to 37,985,132 and 77,312,722

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Solution

The third proportional to 37,985,132 and 77,312,722 is: 157,357,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985,132 : 77,312,722 = 77,312,722 : x
  2. Step 2: Convert to fraction form
    37,985,132/77,312,722 = 77,312,722/x
  3. Step 3: Cross multiply
    37,985,132x = 77,312,722 × 77,312,722
  4. Step 4: Simplify right side
    37,985,132x = 5,977,256,983,049,284
  5. Step 5: Solve for x
    x = 5,977,256,983,049,284/37,985,132
  6. Step 6: Final answer
    x = 157,357,804.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.