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Finding the Third Proportional to 344,314,110 and 737,749,148

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Solution

The third proportional to 344,314,110 and 737,749,148 is: 1,580,747,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314,110 : 737,749,148 = 737,749,148 : x
  2. Step 2: Convert to fraction form
    344,314,110/737,749,148 = 737,749,148/x
  3. Step 3: Cross multiply
    344,314,110x = 737,749,148 × 737,749,148
  4. Step 4: Simplify right side
    344,314,110x = 544,273,805,374,725,888
  5. Step 5: Solve for x
    x = 544,273,805,374,725,888/344,314,110
  6. Step 6: Final answer
    x = 1,580,747,897.25

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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.