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Finding the Third Proportional to 682,329,237.75 and 975,066,221.25

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Solution

The third proportional to 682,329,237.75 and 975,066,221.25 is: 1,393,394,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,329,237.75 : 975,066,221.25 = 975,066,221.25 : x
  2. Step 2: Convert to fraction form
    682,329,237.75/975,066,221.25 = 975,066,221.25/x
  3. Step 3: Cross multiply
    682,329,237.75x = 975,066,221.25 × 975,066,221.25
  4. Step 4: Simplify right side
    682,329,237.75x = 950,754,135,822,753,920
  5. Step 5: Solve for x
    x = 950,754,135,822,753,920/682,329,237.75
  6. Step 6: Final answer
    x = 1,393,394,981.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.