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Finding the Third Proportional to 296,663,841 and 436,422,168

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Solution

The third proportional to 296,663,841 and 436,422,168 is: 642,020,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,663,841 : 436,422,168 = 436,422,168 : x
  2. Step 2: Convert to fraction form
    296,663,841/436,422,168 = 436,422,168/x
  3. Step 3: Cross multiply
    296,663,841x = 436,422,168 × 436,422,168
  4. Step 4: Simplify right side
    296,663,841x = 190,464,308,721,820,224
  5. Step 5: Solve for x
    x = 190,464,308,721,820,224/296,663,841
  6. Step 6: Final answer
    x = 642,020,638.85

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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.