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Finding the Third Proportional to 30,080,403 and 45,825,628.50

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Solution

The third proportional to 30,080,403 and 45,825,628.50 is: 69,812,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,080,403 : 45,825,628.50 = 45,825,628.50 : x
  2. Step 2: Convert to fraction form
    30,080,403/45,825,628.50 = 45,825,628.50/x
  3. Step 3: Cross multiply
    30,080,403x = 45,825,628.50 × 45,825,628.50
  4. Step 4: Simplify right side
    30,080,403x = 2,099,988,227,420,012.25
  5. Step 5: Solve for x
    x = 2,099,988,227,420,012.25/30,080,403
  6. Step 6: Final answer
    x = 69,812,503.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.