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Finding the Third Proportional to 169,774,944 and 363,752,610

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Solution

The third proportional to 169,774,944 and 363,752,610 is: 779,360,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,774,944 : 363,752,610 = 363,752,610 : x
  2. Step 2: Convert to fraction form
    169,774,944/363,752,610 = 363,752,610/x
  3. Step 3: Cross multiply
    169,774,944x = 363,752,610 × 363,752,610
  4. Step 4: Simplify right side
    169,774,944x = 132,315,961,281,812,096
  5. Step 5: Solve for x
    x = 132,315,961,281,812,096/169,774,944
  6. Step 6: Final answer
    x = 779,360,947.88

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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.