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Finding the Third Proportional to 38,371,855,234.50 and 85,566,643,515

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Solution

The third proportional to 38,371,855,234.50 and 85,566,643,515 is: 190,807,831,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,371,855,234.50 : 85,566,643,515 = 85,566,643,515 : x
  2. Step 2: Convert to fraction form
    38,371,855,234.50/85,566,643,515 = 85,566,643,515/x
  3. Step 3: Cross multiply
    38,371,855,234.50x = 85,566,643,515 × 85,566,643,515
  4. Step 4: Simplify right side
    38,371,855,234.50x = 7,321,650,482,423,091,167,232
  5. Step 5: Solve for x
    x = 7,321,650,482,423,091,167,232/38,371,855,234.50
  6. Step 6: Final answer
    x = 190,807,831,356.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.