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Finding the Third Proportional to 416,849,140 and 613,148,976

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Solution

The third proportional to 416,849,140 and 613,148,976 is: 901,889,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,849,140 : 613,148,976 = 613,148,976 : x
  2. Step 2: Convert to fraction form
    416,849,140/613,148,976 = 613,148,976/x
  3. Step 3: Cross multiply
    416,849,140x = 613,148,976 × 613,148,976
  4. Step 4: Simplify right side
    416,849,140x = 375,951,666,769,848,576
  5. Step 5: Solve for x
    x = 375,951,666,769,848,576/416,849,140
  6. Step 6: Final answer
    x = 901,889,030.57

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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.