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Finding the Third Proportional to 76,270,572 and 162,519,360

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Solution

The third proportional to 76,270,572 and 162,519,360 is: 346,300,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,270,572 : 162,519,360 = 162,519,360 : x
  2. Step 2: Convert to fraction form
    76,270,572/162,519,360 = 162,519,360/x
  3. Step 3: Cross multiply
    76,270,572x = 162,519,360 × 162,519,360
  4. Step 4: Simplify right side
    76,270,572x = 26,412,542,374,809,600
  5. Step 5: Solve for x
    x = 26,412,542,374,809,600/76,270,572
  6. Step 6: Final answer
    x = 346,300,567.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.