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Finding the Third Proportional to 76,430,941,685 and 113,983,612,164

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Solution

The third proportional to 76,430,941,685 and 113,983,612,164 is: 169,986,965,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430,941,685 : 113,983,612,164 = 113,983,612,164 : x
  2. Step 2: Convert to fraction form
    76,430,941,685/113,983,612,164 = 113,983,612,164/x
  3. Step 3: Cross multiply
    76,430,941,685x = 113,983,612,164 × 113,983,612,164
  4. Step 4: Simplify right side
    76,430,941,685x = 12,992,263,841,953,169,276,928
  5. Step 5: Solve for x
    x = 12,992,263,841,953,169,276,928/76,430,941,685
  6. Step 6: Final answer
    x = 169,986,965,429.51

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Why These Related Problems?

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