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Finding the Third Proportional to 53,833,408 and 118,432,640

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Solution

The third proportional to 53,833,408 and 118,432,640 is: 260,549,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,833,408 : 118,432,640 = 118,432,640 : x
  2. Step 2: Convert to fraction form
    53,833,408/118,432,640 = 118,432,640/x
  3. Step 3: Cross multiply
    53,833,408x = 118,432,640 × 118,432,640
  4. Step 4: Simplify right side
    53,833,408x = 14,026,290,217,369,600
  5. Step 5: Solve for x
    x = 14,026,290,217,369,600/53,833,408
  6. Step 6: Final answer
    x = 260,549,921.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.