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Finding the Third Proportional to 296,663,825 and 436,422,151

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Solution

The third proportional to 296,663,825 and 436,422,151 is: 642,020,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,663,825 : 436,422,151 = 436,422,151 : x
  2. Step 2: Convert to fraction form
    296,663,825/436,422,151 = 436,422,151/x
  3. Step 3: Cross multiply
    296,663,825x = 436,422,151 × 436,422,151
  4. Step 4: Simplify right side
    296,663,825x = 190,464,293,883,466,816
  5. Step 5: Solve for x
    x = 190,464,293,883,466,816/296,663,825
  6. Step 6: Final answer
    x = 642,020,623.46

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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.