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Finding the Third Proportional to 31,528,685 and 67,919,314

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Solution

The third proportional to 31,528,685 and 67,919,314 is: 146,312,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528,685 : 67,919,314 = 67,919,314 : x
  2. Step 2: Convert to fraction form
    31,528,685/67,919,314 = 67,919,314/x
  3. Step 3: Cross multiply
    31,528,685x = 67,919,314 × 67,919,314
  4. Step 4: Simplify right side
    31,528,685x = 4,613,033,214,230,596
  5. Step 5: Solve for x
    x = 4,613,033,214,230,596/31,528,685
  6. Step 6: Final answer
    x = 146,312,261.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.