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Finding the Third Proportional to 53,804,277 and 85,654,509

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Solution

The third proportional to 53,804,277 and 85,654,509 is: 136,358,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804,277 : 85,654,509 = 85,654,509 : x
  2. Step 2: Convert to fraction form
    53,804,277/85,654,509 = 85,654,509/x
  3. Step 3: Cross multiply
    53,804,277x = 85,654,509 × 85,654,509
  4. Step 4: Simplify right side
    53,804,277x = 7,336,694,912,031,081
  5. Step 5: Solve for x
    x = 7,336,694,912,031,081/53,804,277
  6. Step 6: Final answer
    x = 136,358,953.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.