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Finding the Third Proportional to 3,918,712,512 and 8,460,807,024

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Solution

The third proportional to 3,918,712,512 and 8,460,807,024 is: 18,267,544,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,712,512 : 8,460,807,024 = 8,460,807,024 : x
  2. Step 2: Convert to fraction form
    3,918,712,512/8,460,807,024 = 8,460,807,024/x
  3. Step 3: Cross multiply
    3,918,712,512x = 8,460,807,024 × 8,460,807,024
  4. Step 4: Simplify right side
    3,918,712,512x = 71,585,255,497,367,740,416
  5. Step 5: Solve for x
    x = 71,585,255,497,367,740,416/3,918,712,512
  6. Step 6: Final answer
    x = 18,267,544,576.99

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