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Finding the Third Proportional to 3,918,712,452 and 8,460,806,898

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Solution

The third proportional to 3,918,712,452 and 8,460,806,898 is: 18,267,544,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,712,452 : 8,460,806,898 = 8,460,806,898 : x
  2. Step 2: Convert to fraction form
    3,918,712,452/8,460,806,898 = 8,460,806,898/x
  3. Step 3: Cross multiply
    3,918,712,452x = 8,460,806,898 × 8,460,806,898
  4. Step 4: Simplify right side
    3,918,712,452x = 71,585,253,365,244,379,136
  5. Step 5: Solve for x
    x = 71,585,253,365,244,379,136/3,918,712,452
  6. Step 6: Final answer
    x = 18,267,544,312.60

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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.