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Finding the Third Proportional to 30,135,055.69 and 65,407,374.19

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Solution

The third proportional to 30,135,055.69 and 65,407,374.19 is: 141,965,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135,055.69 : 65,407,374.19 = 65,407,374.19 : x
  2. Step 2: Convert to fraction form
    30,135,055.69/65,407,374.19 = 65,407,374.19/x
  3. Step 3: Cross multiply
    30,135,055.69x = 65,407,374.19 × 65,407,374.19
  4. Step 4: Simplify right side
    30,135,055.69x = 4,278,124,598,103,641.50
  5. Step 5: Solve for x
    x = 4,278,124,598,103,641.50/30,135,055.69
  6. Step 6: Final answer
    x = 141,965,047.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.