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Finding the Third Proportional to 76,430,941,679.75 and 113,983,612,158

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Solution

The third proportional to 76,430,941,679.75 and 113,983,612,158 is: 169,986,965,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430,941,679.75 : 113,983,612,158 = 113,983,612,158 : x
  2. Step 2: Convert to fraction form
    76,430,941,679.75/113,983,612,158 = 113,983,612,158/x
  3. Step 3: Cross multiply
    76,430,941,679.75x = 113,983,612,158 × 113,983,612,158
  4. Step 4: Simplify right side
    76,430,941,679.75x = 12,992,263,840,585,364,799,488
  5. Step 5: Solve for x
    x = 12,992,263,840,585,364,799,488/76,430,941,679.75
  6. Step 6: Final answer
    x = 169,986,965,423.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.