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Finding the Third Proportional to 29,913,076 and 65,067,210

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Solution

The third proportional to 29,913,076 and 65,067,210 is: 141,534,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913,076 : 65,067,210 = 65,067,210 : x
  2. Step 2: Convert to fraction form
    29,913,076/65,067,210 = 65,067,210/x
  3. Step 3: Cross multiply
    29,913,076x = 65,067,210 × 65,067,210
  4. Step 4: Simplify right side
    29,913,076x = 4,233,741,817,184,100
  5. Step 5: Solve for x
    x = 4,233,741,817,184,100/29,913,076
  6. Step 6: Final answer
    x = 141,534,819.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.