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Finding the Third Proportional to 40,348,929 and 86,307,513

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Solution

The third proportional to 40,348,929 and 86,307,513 is: 184,614,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,929 : 86,307,513 = 86,307,513 : x
  2. Step 2: Convert to fraction form
    40,348,929/86,307,513 = 86,307,513/x
  3. Step 3: Cross multiply
    40,348,929x = 86,307,513 × 86,307,513
  4. Step 4: Simplify right side
    40,348,929x = 7,448,986,800,245,169
  5. Step 5: Solve for x
    x = 7,448,986,800,245,169/40,348,929
  6. Step 6: Final answer
    x = 184,614,238.47

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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.