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Finding the Third Proportional to 416,849,128 and 613,148,958

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Solution

The third proportional to 416,849,128 and 613,148,958 is: 901,889,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,849,128 : 613,148,958 = 613,148,958 : x
  2. Step 2: Convert to fraction form
    416,849,128/613,148,958 = 613,148,958/x
  3. Step 3: Cross multiply
    416,849,128x = 613,148,958 × 613,148,958
  4. Step 4: Simplify right side
    416,849,128x = 375,951,644,696,485,760
  5. Step 5: Solve for x
    x = 375,951,644,696,485,760/416,849,128
  6. Step 6: Final answer
    x = 901,889,003.58

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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.