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Finding the Third Proportional to 1,704,565,148 and 3,982,634,729

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Solution

The third proportional to 1,704,565,148 and 3,982,634,729 is: 9,305,235,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,565,148 : 3,982,634,729 = 3,982,634,729 : x
  2. Step 2: Convert to fraction form
    1,704,565,148/3,982,634,729 = 3,982,634,729/x
  3. Step 3: Cross multiply
    1,704,565,148x = 3,982,634,729 × 3,982,634,729
  4. Step 4: Simplify right side
    1,704,565,148x = 15,861,379,384,636,903,424
  5. Step 5: Solve for x
    x = 15,861,379,384,636,903,424/1,704,565,148
  6. Step 6: Final answer
    x = 9,305,235,064.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.