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Finding the Third Proportional to 5,740,339,842 and 8,985,199,671

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Solution

The third proportional to 5,740,339,842 and 8,985,199,671 is: 14,064,291,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740,339,842 : 8,985,199,671 = 8,985,199,671 : x
  2. Step 2: Convert to fraction form
    5,740,339,842/8,985,199,671 = 8,985,199,671/x
  3. Step 3: Cross multiply
    5,740,339,842x = 8,985,199,671 × 8,985,199,671
  4. Step 4: Simplify right side
    5,740,339,842x = 80,733,813,127,738,507,264
  5. Step 5: Solve for x
    x = 80,733,813,127,738,507,264/5,740,339,842
  6. Step 6: Final answer
    x = 14,064,291,548.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.