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Finding the Third Proportional to 296,663,852 and 436,422,182

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Solution

The third proportional to 296,663,852 and 436,422,182 is: 642,020,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,663,852 : 436,422,182 = 436,422,182 : x
  2. Step 2: Convert to fraction form
    296,663,852/436,422,182 = 436,422,182/x
  3. Step 3: Cross multiply
    296,663,852x = 436,422,182 × 436,422,182
  4. Step 4: Simplify right side
    296,663,852x = 190,464,320,941,641,120
  5. Step 5: Solve for x
    x = 190,464,320,941,641,120/296,663,852
  6. Step 6: Final answer
    x = 642,020,656.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.