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Finding the Third Proportional to 57,429,030 and 126,016,498.50

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Solution

The third proportional to 57,429,030 and 126,016,498.50 is: 276,517,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429,030 : 126,016,498.50 = 126,016,498.50 : x
  2. Step 2: Convert to fraction form
    57,429,030/126,016,498.50 = 126,016,498.50/x
  3. Step 3: Cross multiply
    57,429,030x = 126,016,498.50 × 126,016,498.50
  4. Step 4: Simplify right side
    57,429,030x = 15,880,157,894,200,502
  5. Step 5: Solve for x
    x = 15,880,157,894,200,502/57,429,030
  6. Step 6: Final answer
    x = 276,517,954.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.