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Finding the Third Proportional to 284,438,550,075 and 410,964,585,759

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Solution

The third proportional to 284,438,550,075 and 410,964,585,759 is: 593,772,857,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438,550,075 : 410,964,585,759 = 410,964,585,759 : x
  2. Step 2: Convert to fraction form
    284,438,550,075/410,964,585,759 = 410,964,585,759/x
  3. Step 3: Cross multiply
    284,438,550,075x = 410,964,585,759 × 410,964,585,759
  4. Step 4: Simplify right side
    284,438,550,075x = 168,891,890,748,066,464,006,144
  5. Step 5: Solve for x
    x = 168,891,890,748,066,464,006,144/284,438,550,075
  6. Step 6: Final answer
    x = 593,772,857,805.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.