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Finding the Third Proportional to 6,774,665,022 and 14,675,069,700

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Solution

The third proportional to 6,774,665,022 and 14,675,069,700 is: 31,788,681,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,665,022 : 14,675,069,700 = 14,675,069,700 : x
  2. Step 2: Convert to fraction form
    6,774,665,022/14,675,069,700 = 14,675,069,700/x
  3. Step 3: Cross multiply
    6,774,665,022x = 14,675,069,700 × 14,675,069,700
  4. Step 4: Simplify right side
    6,774,665,022x = 215,357,670,699,858,100,224
  5. Step 5: Solve for x
    x = 215,357,670,699,858,100,224/6,774,665,022
  6. Step 6: Final answer
    x = 31,788,681,802.05

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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.