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Finding the Third Proportional to 413,729,188 and 617,006,007

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Solution

The third proportional to 413,729,188 and 617,006,007 is: 920,158,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,729,188 : 617,006,007 = 617,006,007 : x
  2. Step 2: Convert to fraction form
    413,729,188/617,006,007 = 617,006,007/x
  3. Step 3: Cross multiply
    413,729,188x = 617,006,007 × 617,006,007
  4. Step 4: Simplify right side
    413,729,188x = 380,696,412,674,084,032
  5. Step 5: Solve for x
    x = 380,696,412,674,084,032/413,729,188
  6. Step 6: Final answer
    x = 920,158,460.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.