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Finding the Third Proportional to 53,354,911 and 114,798,806

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Solution

The third proportional to 53,354,911 and 114,798,806 is: 247,001,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,354,911 : 114,798,806 = 114,798,806 : x
  2. Step 2: Convert to fraction form
    53,354,911/114,798,806 = 114,798,806/x
  3. Step 3: Cross multiply
    53,354,911x = 114,798,806 × 114,798,806
  4. Step 4: Simplify right side
    53,354,911x = 13,178,765,859,025,636
  5. Step 5: Solve for x
    x = 13,178,765,859,025,636/53,354,911
  6. Step 6: Final answer
    x = 247,001,927.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.