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Finding the Third Proportional to 53,774,720 and 82,655,616

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Solution

The third proportional to 53,774,720 and 82,655,616 is: 127,047,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774,720 : 82,655,616 = 82,655,616 : x
  2. Step 2: Convert to fraction form
    53,774,720/82,655,616 = 82,655,616/x
  3. Step 3: Cross multiply
    53,774,720x = 82,655,616 × 82,655,616
  4. Step 4: Simplify right side
    53,774,720x = 6,831,950,856,339,456
  5. Step 5: Solve for x
    x = 6,831,950,856,339,456/53,774,720
  6. Step 6: Final answer
    x = 127,047,632.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.