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Finding the Third Proportional to 1,700,484,232,035 and 3,747,581,307,958

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Solution

The third proportional to 1,700,484,232,035 and 3,747,581,307,958 is: 8,259,039,040,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,484,232,035 : 3,747,581,307,958 = 3,747,581,307,958 : x
  2. Step 2: Convert to fraction form
    1,700,484,232,035/3,747,581,307,958 = 3,747,581,307,958/x
  3. Step 3: Cross multiply
    1,700,484,232,035x = 3,747,581,307,958 × 3,747,581,307,958
  4. Step 4: Simplify right side
    1,700,484,232,035x = 14,044,365,659,756,193,852,162,048
  5. Step 5: Solve for x
    x = 14,044,365,659,756,193,852,162,048/1,700,484,232,035
  6. Step 6: Final answer
    x = 8,259,039,040,279.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.