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Finding the Third Proportional to 821,716,020 and 1,672,129,764

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Solution

The third proportional to 821,716,020 and 1,672,129,764 is: 3,402,657,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,716,020 : 1,672,129,764 = 1,672,129,764 : x
  2. Step 2: Convert to fraction form
    821,716,020/1,672,129,764 = 1,672,129,764/x
  3. Step 3: Cross multiply
    821,716,020x = 1,672,129,764 × 1,672,129,764
  4. Step 4: Simplify right side
    821,716,020x = 2,796,017,947,654,695,936
  5. Step 5: Solve for x
    x = 2,796,017,947,654,695,936/821,716,020
  6. Step 6: Final answer
    x = 3,402,657,219.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.