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Finding the Third Proportional to 519,201,793.50 and 777,185,282.25

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Solution

The third proportional to 519,201,793.50 and 777,185,282.25 is: 1,163,356,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,201,793.50 : 777,185,282.25 = 777,185,282.25 : x
  2. Step 2: Convert to fraction form
    519,201,793.50/777,185,282.25 = 777,185,282.25/x
  3. Step 3: Cross multiply
    519,201,793.50x = 777,185,282.25 × 777,185,282.25
  4. Step 4: Simplify right side
    519,201,793.50x = 604,016,962,946,012,160
  5. Step 5: Solve for x
    x = 604,016,962,946,012,160/519,201,793.50
  6. Step 6: Final answer
    x = 1,163,356,849.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.