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Finding the Third Proportional to 10,465,677,744 and 16,086,468,546

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Solution

The third proportional to 10,465,677,744 and 16,086,468,546 is: 24,726,011,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465,677,744 : 16,086,468,546 = 16,086,468,546 : x
  2. Step 2: Convert to fraction form
    10,465,677,744/16,086,468,546 = 16,086,468,546/x
  3. Step 3: Cross multiply
    10,465,677,744x = 16,086,468,546 × 16,086,468,546
  4. Step 4: Simplify right side
    10,465,677,744x = 258,774,470,281,447,342,080
  5. Step 5: Solve for x
    x = 258,774,470,281,447,342,080/10,465,677,744
  6. Step 6: Final answer
    x = 24,726,011,693.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.