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Finding the Third Proportional to 31,984,920 and 45,584,964

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Solution

The third proportional to 31,984,920 and 45,584,964 is: 64,967,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,920 : 45,584,964 = 45,584,964 : x
  2. Step 2: Convert to fraction form
    31,984,920/45,584,964 = 45,584,964/x
  3. Step 3: Cross multiply
    31,984,920x = 45,584,964 × 45,584,964
  4. Step 4: Simplify right side
    31,984,920x = 2,077,988,942,881,296
  5. Step 5: Solve for x
    x = 2,077,988,942,881,296/31,984,920
  6. Step 6: Final answer
    x = 64,967,770.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.