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Finding the Third Proportional to 438,419,164.50 and 954,017,763.75

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Solution

The third proportional to 438,419,164.50 and 954,017,763.75 is: 2,075,981,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,419,164.50 : 954,017,763.75 = 954,017,763.75 : x
  2. Step 2: Convert to fraction form
    438,419,164.50/954,017,763.75 = 954,017,763.75/x
  3. Step 3: Cross multiply
    438,419,164.50x = 954,017,763.75 × 954,017,763.75
  4. Step 4: Simplify right side
    438,419,164.50x = 910,149,893,550,550,784
  5. Step 5: Solve for x
    x = 910,149,893,550,550,784/438,419,164.50
  6. Step 6: Final answer
    x = 2,075,981,086.70

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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.