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Finding the Third Proportional to 314,561,550 and 471,842,385

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Solution

The third proportional to 314,561,550 and 471,842,385 is: 707,763,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,561,550 : 471,842,385 = 471,842,385 : x
  2. Step 2: Convert to fraction form
    314,561,550/471,842,385 = 471,842,385/x
  3. Step 3: Cross multiply
    314,561,550x = 471,842,385 × 471,842,385
  4. Step 4: Simplify right side
    314,561,550x = 222,635,236,282,488,224
  5. Step 5: Solve for x
    x = 222,635,236,282,488,224/314,561,550
  6. Step 6: Final answer
    x = 707,763,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.