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Finding the Third Proportional to 389,706,056 and 848,016,304

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Solution

The third proportional to 389,706,056 and 848,016,304 is: 1,845,318,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,706,056 : 848,016,304 = 848,016,304 : x
  2. Step 2: Convert to fraction form
    389,706,056/848,016,304 = 848,016,304/x
  3. Step 3: Cross multiply
    389,706,056x = 848,016,304 × 848,016,304
  4. Step 4: Simplify right side
    389,706,056x = 719,131,651,849,820,416
  5. Step 5: Solve for x
    x = 719,131,651,849,820,416/389,706,056
  6. Step 6: Final answer
    x = 1,845,318,133.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.