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Finding the Third Proportional to 319,464,842 and 477,436,518

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Solution

The third proportional to 319,464,842 and 477,436,518 is: 713,523,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,464,842 : 477,436,518 = 477,436,518 : x
  2. Step 2: Convert to fraction form
    319,464,842/477,436,518 = 477,436,518/x
  3. Step 3: Cross multiply
    319,464,842x = 477,436,518 × 477,436,518
  4. Step 4: Simplify right side
    319,464,842x = 227,945,628,719,964,320
  5. Step 5: Solve for x
    x = 227,945,628,719,964,320/319,464,842
  6. Step 6: Final answer
    x = 713,523,363.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.