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Finding the Third Proportional to 277,437,137.50 and 603,714,386.75

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Solution

The third proportional to 277,437,137.50 and 603,714,386.75 is: 1,313,706,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,437,137.50 : 603,714,386.75 = 603,714,386.75 : x
  2. Step 2: Convert to fraction form
    277,437,137.50/603,714,386.75 = 603,714,386.75/x
  3. Step 3: Cross multiply
    277,437,137.50x = 603,714,386.75 × 603,714,386.75
  4. Step 4: Simplify right side
    277,437,137.50x = 364,471,060,768,928,576
  5. Step 5: Solve for x
    x = 364,471,060,768,928,576/277,437,137.50
  6. Step 6: Final answer
    x = 1,313,706,824.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.