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Finding the Third Proportional to 53,830,842 and 116,747,940

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Solution

The third proportional to 53,830,842 and 116,747,940 is: 253,202,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830,842 : 116,747,940 = 116,747,940 : x
  2. Step 2: Convert to fraction form
    53,830,842/116,747,940 = 116,747,940/x
  3. Step 3: Cross multiply
    53,830,842x = 116,747,940 × 116,747,940
  4. Step 4: Simplify right side
    53,830,842x = 13,630,081,494,243,600
  5. Step 5: Solve for x
    x = 13,630,081,494,243,600/53,830,842
  6. Step 6: Final answer
    x = 253,202,086.16

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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.