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Finding the Third Proportional to 765,114,883,932 and 1,771,287,854,928

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Solution

The third proportional to 765,114,883,932 and 1,771,287,854,928 is: 4,100,639,957,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,114,883,932 : 1,771,287,854,928 = 1,771,287,854,928 : x
  2. Step 2: Convert to fraction form
    765,114,883,932/1,771,287,854,928 = 1,771,287,854,928/x
  3. Step 3: Cross multiply
    765,114,883,932x = 1,771,287,854,928 × 1,771,287,854,928
  4. Step 4: Simplify right side
    765,114,883,932x = 3,137,460,665,015,435,744,247,808
  5. Step 5: Solve for x
    x = 3,137,460,665,015,435,744,247,808/765,114,883,932
  6. Step 6: Final answer
    x = 4,100,639,957,350.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.