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Finding the Third Proportional to 64,931,429 and 142,848,990

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Solution

The third proportional to 64,931,429 and 142,848,990 is: 314,267,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931,429 : 142,848,990 = 142,848,990 : x
  2. Step 2: Convert to fraction form
    64,931,429/142,848,990 = 142,848,990/x
  3. Step 3: Cross multiply
    64,931,429x = 142,848,990 × 142,848,990
  4. Step 4: Simplify right side
    64,931,429x = 20,405,833,944,020,100
  5. Step 5: Solve for x
    x = 20,405,833,944,020,100/64,931,429
  6. Step 6: Final answer
    x = 314,267,439.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.