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Finding the Third Proportional to 53,403,291 and 109,637,649

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Solution

The third proportional to 53,403,291 and 109,637,649 is: 225,087,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403,291 : 109,637,649 = 109,637,649 : x
  2. Step 2: Convert to fraction form
    53,403,291/109,637,649 = 109,637,649/x
  3. Step 3: Cross multiply
    53,403,291x = 109,637,649 × 109,637,649
  4. Step 4: Simplify right side
    53,403,291x = 12,020,414,078,247,200
  5. Step 5: Solve for x
    x = 12,020,414,078,247,200/53,403,291
  6. Step 6: Final answer
    x = 225,087,515.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.