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Finding the Third Proportional to 3,497,048,796 and 5,709,761,433

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Solution

The third proportional to 3,497,048,796 and 5,709,761,433 is: 9,322,539,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,048,796 : 5,709,761,433 = 5,709,761,433 : x
  2. Step 2: Convert to fraction form
    3,497,048,796/5,709,761,433 = 5,709,761,433/x
  3. Step 3: Cross multiply
    3,497,048,796x = 5,709,761,433 × 5,709,761,433
  4. Step 4: Simplify right side
    3,497,048,796x = 32,601,375,621,774,213,120
  5. Step 5: Solve for x
    x = 32,601,375,621,774,213,120/3,497,048,796
  6. Step 6: Final answer
    x = 9,322,539,525.06

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.