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Finding the Third Proportional to 57,465,277 and 89,225,796

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Solution

The third proportional to 57,465,277 and 89,225,796 is: 138,540,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465,277 : 89,225,796 = 89,225,796 : x
  2. Step 2: Convert to fraction form
    57,465,277/89,225,796 = 89,225,796/x
  3. Step 3: Cross multiply
    57,465,277x = 89,225,796 × 89,225,796
  4. Step 4: Simplify right side
    57,465,277x = 7,961,242,671,833,616
  5. Step 5: Solve for x
    x = 7,961,242,671,833,616/57,465,277
  6. Step 6: Final answer
    x = 138,540,055.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.