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Finding the Third Proportional to 359,523,596.53 and 773,652,755.81

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Solution

The third proportional to 359,523,596.53 and 773,652,755.81 is: 1,664,810,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,523,596.53 : 773,652,755.81 = 773,652,755.81 : x
  2. Step 2: Convert to fraction form
    359,523,596.53/773,652,755.81 = 773,652,755.81/x
  3. Step 3: Cross multiply
    359,523,596.53x = 773,652,755.81 × 773,652,755.81
  4. Step 4: Simplify right side
    359,523,596.53x = 598,538,586,576,275,712
  5. Step 5: Solve for x
    x = 598,538,586,576,275,712/359,523,596.53
  6. Step 6: Final answer
    x = 1,664,810,299.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.