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Finding the Third Proportional to 53,830,836 and 116,747,928

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Solution

The third proportional to 53,830,836 and 116,747,928 is: 253,202,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830,836 : 116,747,928 = 116,747,928 : x
  2. Step 2: Convert to fraction form
    53,830,836/116,747,928 = 116,747,928/x
  3. Step 3: Cross multiply
    53,830,836x = 116,747,928 × 116,747,928
  4. Step 4: Simplify right side
    53,830,836x = 13,630,078,692,293,184
  5. Step 5: Solve for x
    x = 13,630,078,692,293,184/53,830,836
  6. Step 6: Final answer
    x = 253,202,062.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.