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Finding the Third Proportional to 432,829,234.13 and 877,702,449.38

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Solution

The third proportional to 432,829,234.13 and 877,702,449.38 is: 1,779,827,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,829,234.13 : 877,702,449.38 = 877,702,449.38 : x
  2. Step 2: Convert to fraction form
    432,829,234.13/877,702,449.38 = 877,702,449.38/x
  3. Step 3: Cross multiply
    432,829,234.13x = 877,702,449.38 × 877,702,449.38
  4. Step 4: Simplify right side
    432,829,234.13x = 770,361,589,638,874,496
  5. Step 5: Solve for x
    x = 770,361,589,638,874,496/432,829,234.13
  6. Step 6: Final answer
    x = 1,779,827,998.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.