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Finding the Third Proportional to 643,853,686 and 1,394,670,397.50

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Solution

The third proportional to 643,853,686 and 1,394,670,397.50 is: 3,021,036,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853,686 : 1,394,670,397.50 = 1,394,670,397.50 : x
  2. Step 2: Convert to fraction form
    643,853,686/1,394,670,397.50 = 1,394,670,397.50/x
  3. Step 3: Cross multiply
    643,853,686x = 1,394,670,397.50 × 1,394,670,397.50
  4. Step 4: Simplify right side
    643,853,686x = 1,945,105,517,662,808,064
  5. Step 5: Solve for x
    x = 1,945,105,517,662,808,064/643,853,686
  6. Step 6: Final answer
    x = 3,021,036,549.08

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