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Finding the Third Proportional to 344,732,447 and 548,802,638.50

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Solution

The third proportional to 344,732,447 and 548,802,638.50 is: 873,675,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,732,447 : 548,802,638.50 = 548,802,638.50 : x
  2. Step 2: Convert to fraction form
    344,732,447/548,802,638.50 = 548,802,638.50/x
  3. Step 3: Cross multiply
    344,732,447x = 548,802,638.50 × 548,802,638.50
  4. Step 4: Simplify right side
    344,732,447x = 301,184,336,024,561,664
  5. Step 5: Solve for x
    x = 301,184,336,024,561,664/344,732,447
  6. Step 6: Final answer
    x = 873,675,624.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.