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Finding the Third Proportional to 3,643,417,994 and 5,597,709,072

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Solution

The third proportional to 3,643,417,994 and 5,597,709,072 is: 8,600,261,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,417,994 : 5,597,709,072 = 5,597,709,072 : x
  2. Step 2: Convert to fraction form
    3,643,417,994/5,597,709,072 = 5,597,709,072/x
  3. Step 3: Cross multiply
    3,643,417,994x = 5,597,709,072 × 5,597,709,072
  4. Step 4: Simplify right side
    3,643,417,994x = 31,334,346,854,751,100,928
  5. Step 5: Solve for x
    x = 31,334,346,854,751,100,928/3,643,417,994
  6. Step 6: Final answer
    x = 8,600,261,322.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.