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Finding the Third Proportional to 417,125,871 and 631,057,405.50

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Solution

The third proportional to 417,125,871 and 631,057,405.50 is: 954,708,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,125,871 : 631,057,405.50 = 631,057,405.50 : x
  2. Step 2: Convert to fraction form
    417,125,871/631,057,405.50 = 631,057,405.50/x
  3. Step 3: Cross multiply
    417,125,871x = 631,057,405.50 × 631,057,405.50
  4. Step 4: Simplify right side
    417,125,871x = 398,233,449,036,391,424
  5. Step 5: Solve for x
    x = 398,233,449,036,391,424/417,125,871
  6. Step 6: Final answer
    x = 954,708,103.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.