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Finding the Third Proportional to 438,419,214.75 and 954,017,857.50

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Solution

The third proportional to 438,419,214.75 and 954,017,857.50 is: 2,075,981,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,419,214.75 : 954,017,857.50 = 954,017,857.50 : x
  2. Step 2: Convert to fraction form
    438,419,214.75/954,017,857.50 = 954,017,857.50/x
  3. Step 3: Cross multiply
    438,419,214.75x = 954,017,857.50 × 954,017,857.50
  4. Step 4: Simplify right side
    438,419,214.75x = 910,150,072,428,890,368
  5. Step 5: Solve for x
    x = 910,150,072,428,890,368/438,419,214.75
  6. Step 6: Final answer
    x = 2,075,981,256.77

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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.