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Finding the Third Proportional to 918,263,850,916 and 1,989,326,494,070

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Solution

The third proportional to 918,263,850,916 and 1,989,326,494,070 is: 4,309,676,239,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,263,850,916 : 1,989,326,494,070 = 1,989,326,494,070 : x
  2. Step 2: Convert to fraction form
    918,263,850,916/1,989,326,494,070 = 1,989,326,494,070/x
  3. Step 3: Cross multiply
    918,263,850,916x = 1,989,326,494,070 × 1,989,326,494,070
  4. Step 4: Simplify right side
    918,263,850,916x = 3,957,419,900,008,837,941,297,152
  5. Step 5: Solve for x
    x = 3,957,419,900,008,837,941,297,152/918,263,850,916
  6. Step 6: Final answer
    x = 4,309,676,239,635.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.