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Finding the Third Proportional to 416,849,006 and 613,148,781

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Solution

The third proportional to 416,849,006 and 613,148,781 is: 901,888,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,849,006 : 613,148,781 = 613,148,781 : x
  2. Step 2: Convert to fraction form
    416,849,006/613,148,781 = 613,148,781/x
  3. Step 3: Cross multiply
    416,849,006x = 613,148,781 × 613,148,781
  4. Step 4: Simplify right side
    416,849,006x = 375,951,427,641,785,984
  5. Step 5: Solve for x
    x = 375,951,427,641,785,984/416,849,006
  6. Step 6: Final answer
    x = 901,888,746.84

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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.