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Finding the Third Proportional to 39,456,345 and 86,455,410

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Solution

The third proportional to 39,456,345 and 86,455,410 is: 189,438,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456,345 : 86,455,410 = 86,455,410 : x
  2. Step 2: Convert to fraction form
    39,456,345/86,455,410 = 86,455,410/x
  3. Step 3: Cross multiply
    39,456,345x = 86,455,410 × 86,455,410
  4. Step 4: Simplify right side
    39,456,345x = 7,474,537,918,268,100
  5. Step 5: Solve for x
    x = 7,474,537,918,268,100/39,456,345
  6. Step 6: Final answer
    x = 189,438,173.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.