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Finding the Third Proportional to 18,065,773,278 and 39,133,518,972

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Solution

The third proportional to 18,065,773,278 and 39,133,518,972 is: 84,769,817,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,065,773,278 : 39,133,518,972 = 39,133,518,972 : x
  2. Step 2: Convert to fraction form
    18,065,773,278/39,133,518,972 = 39,133,518,972/x
  3. Step 3: Cross multiply
    18,065,773,278x = 39,133,518,972 × 39,133,518,972
  4. Step 4: Simplify right side
    18,065,773,278x = 1,531,432,307,131,883,978,752
  5. Step 5: Solve for x
    x = 1,531,432,307,131,883,978,752/18,065,773,278
  6. Step 6: Final answer
    x = 84,769,817,685.96

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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.