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Finding the Third Proportional to 240,604,942 and 515,741,551

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Solution

The third proportional to 240,604,942 and 515,741,551 is: 1,105,502,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,604,942 : 515,741,551 = 515,741,551 : x
  2. Step 2: Convert to fraction form
    240,604,942/515,741,551 = 515,741,551/x
  3. Step 3: Cross multiply
    240,604,942x = 515,741,551 × 515,741,551
  4. Step 4: Simplify right side
    240,604,942x = 265,989,347,427,885,600
  5. Step 5: Solve for x
    x = 265,989,347,427,885,600/240,604,942
  6. Step 6: Final answer
    x = 1,105,502,427.41

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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.