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Finding the Third Proportional to 54,217,284 and 82,596,621

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Solution

The third proportional to 54,217,284 and 82,596,621 is: 125,830,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,217,284 : 82,596,621 = 82,596,621 : x
  2. Step 2: Convert to fraction form
    54,217,284/82,596,621 = 82,596,621/x
  3. Step 3: Cross multiply
    54,217,284x = 82,596,621 × 82,596,621
  4. Step 4: Simplify right side
    54,217,284x = 6,822,201,800,617,641
  5. Step 5: Solve for x
    x = 6,822,201,800,617,641/54,217,284
  6. Step 6: Final answer
    x = 125,830,755.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.