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Finding the Third Proportional to 1,756,251,414 and 3,818,601,180

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Solution

The third proportional to 1,756,251,414 and 3,818,601,180 is: 8,302,749,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,251,414 : 3,818,601,180 = 3,818,601,180 : x
  2. Step 2: Convert to fraction form
    1,756,251,414/3,818,601,180 = 3,818,601,180/x
  3. Step 3: Cross multiply
    1,756,251,414x = 3,818,601,180 × 3,818,601,180
  4. Step 4: Simplify right side
    1,756,251,414x = 14,581,714,971,897,393,152
  5. Step 5: Solve for x
    x = 14,581,714,971,897,393,152/1,756,251,414
  6. Step 6: Final answer
    x = 8,302,749,171.14

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