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Finding the Third Proportional to 30,184,768 and 65,149,712

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Solution

The third proportional to 30,184,768 and 65,149,712 is: 140,616,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184,768 : 65,149,712 = 65,149,712 : x
  2. Step 2: Convert to fraction form
    30,184,768/65,149,712 = 65,149,712/x
  3. Step 3: Cross multiply
    30,184,768x = 65,149,712 × 65,149,712
  4. Step 4: Simplify right side
    30,184,768x = 4,244,484,973,682,944
  5. Step 5: Solve for x
    x = 4,244,484,973,682,944/30,184,768
  6. Step 6: Final answer
    x = 140,616,783.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.