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Finding the Third Proportional to 516,820,010.63 and 794,389,472.44

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Solution

The third proportional to 516,820,010.63 and 794,389,472.44 is: 1,221,033,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,820,010.63 : 794,389,472.44 = 794,389,472.44 : x
  2. Step 2: Convert to fraction form
    516,820,010.63/794,389,472.44 = 794,389,472.44/x
  3. Step 3: Cross multiply
    516,820,010.63x = 794,389,472.44 × 794,389,472.44
  4. Step 4: Simplify right side
    516,820,010.63x = 631,054,633,919,529,600
  5. Step 5: Solve for x
    x = 631,054,633,919,529,600/516,820,010.63
  6. Step 6: Final answer
    x = 1,221,033,669.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.