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Finding the Third Proportional to 8,032,560,426 and 17,355,813,840

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Solution

The third proportional to 8,032,560,426 and 17,355,813,840 is: 37,500,405,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,560,426 : 17,355,813,840 = 17,355,813,840 : x
  2. Step 2: Convert to fraction form
    8,032,560,426/17,355,813,840 = 17,355,813,840/x
  3. Step 3: Cross multiply
    8,032,560,426x = 17,355,813,840 × 17,355,813,840
  4. Step 4: Simplify right side
    8,032,560,426x = 301,224,274,048,735,576,064
  5. Step 5: Solve for x
    x = 301,224,274,048,735,576,064/8,032,560,426
  6. Step 6: Final answer
    x = 37,500,405,608.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.