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Finding the Third Proportional to 38,374,816 and 78,291,146

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Solution

The third proportional to 38,374,816 and 78,291,146 is: 159,727,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,374,816 : 78,291,146 = 78,291,146 : x
  2. Step 2: Convert to fraction form
    38,374,816/78,291,146 = 78,291,146/x
  3. Step 3: Cross multiply
    38,374,816x = 78,291,146 × 78,291,146
  4. Step 4: Simplify right side
    38,374,816x = 6,129,503,541,993,316
  5. Step 5: Solve for x
    x = 6,129,503,541,993,316/38,374,816
  6. Step 6: Final answer
    x = 159,727,242.52

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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.