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Finding the Third Proportional to 10,675,368,958.50 and 22,234,331,439

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Solution

The third proportional to 10,675,368,958.50 and 22,234,331,439 is: 46,308,984,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,368,958.50 : 22,234,331,439 = 22,234,331,439 : x
  2. Step 2: Convert to fraction form
    10,675,368,958.50/22,234,331,439 = 22,234,331,439/x
  3. Step 3: Cross multiply
    10,675,368,958.50x = 22,234,331,439 × 22,234,331,439
  4. Step 4: Simplify right side
    10,675,368,958.50x = 494,365,494,539,303,780,352
  5. Step 5: Solve for x
    x = 494,365,494,539,303,780,352/10,675,368,958.50
  6. Step 6: Final answer
    x = 46,308,984,397.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.