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Finding the Third Proportional to 53,376,534 and 116,540,442

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Solution

The third proportional to 53,376,534 and 116,540,442 is: 254,450,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,376,534 : 116,540,442 = 116,540,442 : x
  2. Step 2: Convert to fraction form
    53,376,534/116,540,442 = 116,540,442/x
  3. Step 3: Cross multiply
    53,376,534x = 116,540,442 × 116,540,442
  4. Step 4: Simplify right side
    53,376,534x = 13,581,674,621,555,364
  5. Step 5: Solve for x
    x = 13,581,674,621,555,364/53,376,534
  6. Step 6: Final answer
    x = 254,450,291.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.