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Finding the Third Proportional to 162,001,614 and 354,775,452

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Solution

The third proportional to 162,001,614 and 354,775,452 is: 776,940,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,001,614 : 354,775,452 = 354,775,452 : x
  2. Step 2: Convert to fraction form
    162,001,614/354,775,452 = 354,775,452/x
  3. Step 3: Cross multiply
    162,001,614x = 354,775,452 × 354,775,452
  4. Step 4: Simplify right side
    162,001,614x = 125,865,621,341,804,304
  5. Step 5: Solve for x
    x = 125,865,621,341,804,304/162,001,614
  6. Step 6: Final answer
    x = 776,940,539.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.