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Finding the Third Proportional to 39,714,170 and 85,702,294

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Solution

The third proportional to 39,714,170 and 85,702,294 is: 184,943,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714,170 : 85,702,294 = 85,702,294 : x
  2. Step 2: Convert to fraction form
    39,714,170/85,702,294 = 85,702,294/x
  3. Step 3: Cross multiply
    39,714,170x = 85,702,294 × 85,702,294
  4. Step 4: Simplify right side
    39,714,170x = 7,344,883,196,862,436
  5. Step 5: Solve for x
    x = 7,344,883,196,862,436/39,714,170
  6. Step 6: Final answer
    x = 184,943,640.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.