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Finding the Third Proportional to 3,465,323,734 and 7,565,660,234

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Solution

The third proportional to 3,465,323,734 and 7,565,660,234 is: 16,517,710,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465,323,734 : 7,565,660,234 = 7,565,660,234 : x
  2. Step 2: Convert to fraction form
    3,465,323,734/7,565,660,234 = 7,565,660,234/x
  3. Step 3: Cross multiply
    3,465,323,734x = 7,565,660,234 × 7,565,660,234
  4. Step 4: Simplify right side
    3,465,323,734x = 57,239,214,776,328,937,472
  5. Step 5: Solve for x
    x = 57,239,214,776,328,937,472/3,465,323,734
  6. Step 6: Final answer
    x = 16,517,710,658.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.