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Finding the Third Proportional to 516,823,913 and 794,394,152

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Solution

The third proportional to 516,823,913 and 794,394,152 is: 1,221,038,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,823,913 : 794,394,152 = 794,394,152 : x
  2. Step 2: Convert to fraction form
    516,823,913/794,394,152 = 794,394,152/x
  3. Step 3: Cross multiply
    516,823,913x = 794,394,152 × 794,394,152
  4. Step 4: Simplify right side
    516,823,913x = 631,062,068,731,799,040
  5. Step 5: Solve for x
    x = 631,062,068,731,799,040/516,823,913
  6. Step 6: Final answer
    x = 1,221,038,835.20

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Why These Related Problems?

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