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Finding the Third Proportional to 382,809,056 and 839,724,688

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Solution

The third proportional to 382,809,056 and 839,724,688 is: 1,842,008,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809,056 : 839,724,688 = 839,724,688 : x
  2. Step 2: Convert to fraction form
    382,809,056/839,724,688 = 839,724,688/x
  3. Step 3: Cross multiply
    382,809,056x = 839,724,688 × 839,724,688
  4. Step 4: Simplify right side
    382,809,056x = 705,137,551,636,697,344
  5. Step 5: Solve for x
    x = 705,137,551,636,697,344/382,809,056
  6. Step 6: Final answer
    x = 1,842,008,543.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.