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Finding the Third Proportional to 761,563,170 and 1,709,501,508

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Solution

The third proportional to 761,563,170 and 1,709,501,508 is: 3,837,364,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,563,170 : 1,709,501,508 = 1,709,501,508 : x
  2. Step 2: Convert to fraction form
    761,563,170/1,709,501,508 = 1,709,501,508/x
  3. Step 3: Cross multiply
    761,563,170x = 1,709,501,508 × 1,709,501,508
  4. Step 4: Simplify right side
    761,563,170x = 2,922,395,405,854,274,048
  5. Step 5: Solve for x
    x = 2,922,395,405,854,274,048/761,563,170
  6. Step 6: Final answer
    x = 3,837,364,411.75

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.