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Finding the Third Proportional to 535,098,844 and 818,641,318.50

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Solution

The third proportional to 535,098,844 and 818,641,318.50 is: 1,252,429,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,098,844 : 818,641,318.50 = 818,641,318.50 : x
  2. Step 2: Convert to fraction form
    535,098,844/818,641,318.50 = 818,641,318.50/x
  3. Step 3: Cross multiply
    535,098,844x = 818,641,318.50 × 818,641,318.50
  4. Step 4: Simplify right side
    535,098,844x = 670,173,608,355,418,496
  5. Step 5: Solve for x
    x = 670,173,608,355,418,496/535,098,844
  6. Step 6: Final answer
    x = 1,252,429,557.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.