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Finding the Third Proportional to 30,275,231 and 45,774,107

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Solution

The third proportional to 30,275,231 and 45,774,107 is: 69,207,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275,231 : 45,774,107 = 45,774,107 : x
  2. Step 2: Convert to fraction form
    30,275,231/45,774,107 = 45,774,107/x
  3. Step 3: Cross multiply
    30,275,231x = 45,774,107 × 45,774,107
  4. Step 4: Simplify right side
    30,275,231x = 2,095,268,871,647,449
  5. Step 5: Solve for x
    x = 2,095,268,871,647,449/30,275,231
  6. Step 6: Final answer
    x = 69,207,362.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.