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Finding the Third Proportional to 31,985,527.50 and 69,077,578.50

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Solution

The third proportional to 31,985,527.50 and 69,077,578.50 is: 149,183,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985,527.50 : 69,077,578.50 = 69,077,578.50 : x
  2. Step 2: Convert to fraction form
    31,985,527.50/69,077,578.50 = 69,077,578.50/x
  3. Step 3: Cross multiply
    31,985,527.50x = 69,077,578.50 × 69,077,578.50
  4. Step 4: Simplify right side
    31,985,527.50x = 4,771,711,851,423,662
  5. Step 5: Solve for x
    x = 4,771,711,851,423,662/31,985,527.50
  6. Step 6: Final answer
    x = 149,183,465.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.