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Finding the Third Proportional to 321,971,441.06 and 694,931,693.63

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Solution

The third proportional to 321,971,441.06 and 694,931,693.63 is: 1,499,915,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,971,441.06 : 694,931,693.63 = 694,931,693.63 : x
  2. Step 2: Convert to fraction form
    321,971,441.06/694,931,693.63 = 694,931,693.63/x
  3. Step 3: Cross multiply
    321,971,441.06x = 694,931,693.63 × 694,931,693.63
  4. Step 4: Simplify right side
    321,971,441.06x = 482,930,058,804,510,848
  5. Step 5: Solve for x
    x = 482,930,058,804,510,848/321,971,441.06
  6. Step 6: Final answer
    x = 1,499,915,822.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.