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Finding the Third Proportional to 344,314,084.68 and 737,749,094.92

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Solution

The third proportional to 344,314,084.68 and 737,749,094.92 is: 1,580,747,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314,084.68 : 737,749,094.92 = 737,749,094.92 : x
  2. Step 2: Convert to fraction form
    344,314,084.68/737,749,094.92 = 737,749,094.92/x
  3. Step 3: Cross multiply
    344,314,084.68x = 737,749,094.92 × 737,749,094.92
  4. Step 4: Simplify right side
    344,314,084.68x = 544,273,727,060,959,936
  5. Step 5: Solve for x
    x = 544,273,727,060,959,936/344,314,084.68
  6. Step 6: Final answer
    x = 1,580,747,786.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.