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Finding the Third Proportional to 314,561,194 and 471,841,832

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Solution

The third proportional to 314,561,194 and 471,841,832 is: 707,762,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,561,194 : 471,841,832 = 471,841,832 : x
  2. Step 2: Convert to fraction form
    314,561,194/471,841,832 = 471,841,832/x
  3. Step 3: Cross multiply
    314,561,194x = 471,841,832 × 471,841,832
  4. Step 4: Simplify right side
    314,561,194x = 222,634,714,425,116,224
  5. Step 5: Solve for x
    x = 222,634,714,425,116,224/314,561,194
  6. Step 6: Final answer
    x = 707,762,809.50

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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.