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Finding the Third Proportional to 839,669,535 and 1,822,065,972

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Solution

The third proportional to 839,669,535 and 1,822,065,972 is: 3,953,846,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,669,535 : 1,822,065,972 = 1,822,065,972 : x
  2. Step 2: Convert to fraction form
    839,669,535/1,822,065,972 = 1,822,065,972/x
  3. Step 3: Cross multiply
    839,669,535x = 1,822,065,972 × 1,822,065,972
  4. Step 4: Simplify right side
    839,669,535x = 3,319,924,406,320,304,640
  5. Step 5: Solve for x
    x = 3,319,924,406,320,304,640/839,669,535
  6. Step 6: Final answer
    x = 3,953,846,445.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.