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Finding the Third Proportional to 547,374,156.50 and 1,133,552,527.50

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Solution

The third proportional to 547,374,156.50 and 1,133,552,527.50 is: 2,347,464,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,374,156.50 : 1,133,552,527.50 = 1,133,552,527.50 : x
  2. Step 2: Convert to fraction form
    547,374,156.50/1,133,552,527.50 = 1,133,552,527.50/x
  3. Step 3: Cross multiply
    547,374,156.50x = 1,133,552,527.50 × 1,133,552,527.50
  4. Step 4: Simplify right side
    547,374,156.50x = 1,284,941,332,601,638,144
  5. Step 5: Solve for x
    x = 1,284,941,332,601,638,144/547,374,156.50
  6. Step 6: Final answer
    x = 2,347,464,375.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.