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Finding the Third Proportional to 542,429,738 and 1,177,330,180

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Solution

The third proportional to 542,429,738 and 1,177,330,180 is: 2,555,365,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,429,738 : 1,177,330,180 = 1,177,330,180 : x
  2. Step 2: Convert to fraction form
    542,429,738/1,177,330,180 = 1,177,330,180/x
  3. Step 3: Cross multiply
    542,429,738x = 1,177,330,180 × 1,177,330,180
  4. Step 4: Simplify right side
    542,429,738x = 1,386,106,352,738,832,384
  5. Step 5: Solve for x
    x = 1,386,106,352,738,832,384/542,429,738
  6. Step 6: Final answer
    x = 2,555,365,710.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.