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Finding the Third Proportional to 659,916,430 and 1,433,334,982

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Solution

The third proportional to 659,916,430 and 1,433,334,982 is: 3,113,195,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,916,430 : 1,433,334,982 = 1,433,334,982 : x
  2. Step 2: Convert to fraction form
    659,916,430/1,433,334,982 = 1,433,334,982/x
  3. Step 3: Cross multiply
    659,916,430x = 1,433,334,982 × 1,433,334,982
  4. Step 4: Simplify right side
    659,916,430x = 2,054,449,170,624,940,288
  5. Step 5: Solve for x
    x = 2,054,449,170,624,940,288/659,916,430
  6. Step 6: Final answer
    x = 3,113,195,970.32

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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.