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Finding the Third Proportional to 393,182,669 and 610,491,046

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Solution

The third proportional to 393,182,669 and 610,491,046 is: 947,903,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,182,669 : 610,491,046 = 610,491,046 : x
  2. Step 2: Convert to fraction form
    393,182,669/610,491,046 = 610,491,046/x
  3. Step 3: Cross multiply
    393,182,669x = 610,491,046 × 610,491,046
  4. Step 4: Simplify right side
    393,182,669x = 372,699,317,246,174,144
  5. Step 5: Solve for x
    x = 372,699,317,246,174,144/393,182,669
  6. Step 6: Final answer
    x = 947,903,726.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.