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Finding the Third Proportional to 399,552,690,182.50 and 932,321,829,191.50

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Solution

The third proportional to 399,552,690,182.50 and 932,321,829,191.50 is: 2,175,492,781,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,552,690,182.50 : 932,321,829,191.50 = 932,321,829,191.50 : x
  2. Step 2: Convert to fraction form
    399,552,690,182.50/932,321,829,191.50 = 932,321,829,191.50/x
  3. Step 3: Cross multiply
    399,552,690,182.50x = 932,321,829,191.50 × 932,321,829,191.50
  4. Step 4: Simplify right side
    399,552,690,182.50x = 869,223,993,186,984,434,597,888
  5. Step 5: Solve for x
    x = 869,223,993,186,984,434,597,888/399,552,690,182.50
  6. Step 6: Final answer
    x = 2,175,492,781,164.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.