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Finding the Third Proportional to 640,624,059 and 998,390,164.50

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Solution

The third proportional to 640,624,059 and 998,390,164.50 is: 1,555,956,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,624,059 : 998,390,164.50 = 998,390,164.50 : x
  2. Step 2: Convert to fraction form
    640,624,059/998,390,164.50 = 998,390,164.50/x
  3. Step 3: Cross multiply
    640,624,059x = 998,390,164.50 × 998,390,164.50
  4. Step 4: Simplify right side
    640,624,059x = 996,782,920,570,337,024
  5. Step 5: Solve for x
    x = 996,782,920,570,337,024/640,624,059
  6. Step 6: Final answer
    x = 1,555,956,112.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.