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Finding the Third Proportional to 707,084,494 and 1,536,571,003

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Solution

The third proportional to 707,084,494 and 1,536,571,003 is: 3,339,134,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,084,494 : 1,536,571,003 = 1,536,571,003 : x
  2. Step 2: Convert to fraction form
    707,084,494/1,536,571,003 = 1,536,571,003/x
  3. Step 3: Cross multiply
    707,084,494x = 1,536,571,003 × 1,536,571,003
  4. Step 4: Simplify right side
    707,084,494x = 2,361,050,447,260,426,240
  5. Step 5: Solve for x
    x = 2,361,050,447,260,426,240/707,084,494
  6. Step 6: Final answer
    x = 3,339,134,809.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.