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Finding the Third Proportional to 2,177,872,536 and 3,347,546,148

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Solution

The third proportional to 2,177,872,536 and 3,347,546,148 is: 5,145,418,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,872,536 : 3,347,546,148 = 3,347,546,148 : x
  2. Step 2: Convert to fraction form
    2,177,872,536/3,347,546,148 = 3,347,546,148/x
  3. Step 3: Cross multiply
    2,177,872,536x = 3,347,546,148 × 3,347,546,148
  4. Step 4: Simplify right side
    2,177,872,536x = 11,206,065,212,989,638,656
  5. Step 5: Solve for x
    x = 11,206,065,212,989,638,656/2,177,872,536
  6. Step 6: Final answer
    x = 5,145,418,305.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.