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Finding the Third Proportional to 296,410,245,152 and 458,002,971,696

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Solution

The third proportional to 296,410,245,152 and 458,002,971,696 is: 707,690,525,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,410,245,152 : 458,002,971,696 = 458,002,971,696 : x
  2. Step 2: Convert to fraction form
    296,410,245,152/458,002,971,696 = 458,002,971,696/x
  3. Step 3: Cross multiply
    296,410,245,152x = 458,002,971,696 × 458,002,971,696
  4. Step 4: Simplify right side
    296,410,245,152x = 209,766,722,082,366,975,639,552
  5. Step 5: Solve for x
    x = 209,766,722,082,366,975,639,552/296,410,245,152
  6. Step 6: Final answer
    x = 707,690,525,254.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.