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Finding the Third Proportional to 40,291,948 and 86,332,972

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Solution

The third proportional to 40,291,948 and 86,332,972 is: 184,984,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291,948 : 86,332,972 = 86,332,972 : x
  2. Step 2: Convert to fraction form
    40,291,948/86,332,972 = 86,332,972/x
  3. Step 3: Cross multiply
    40,291,948x = 86,332,972 × 86,332,972
  4. Step 4: Simplify right side
    40,291,948x = 7,453,382,054,352,784
  5. Step 5: Solve for x
    x = 7,453,382,054,352,784/40,291,948
  6. Step 6: Final answer
    x = 184,984,405.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.