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Finding the Third Proportional to 691,580,063.25 and 1,062,351,569.25

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Solution

The third proportional to 691,580,063.25 and 1,062,351,569.25 is: 1,631,901,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,580,063.25 : 1,062,351,569.25 = 1,062,351,569.25 : x
  2. Step 2: Convert to fraction form
    691,580,063.25/1,062,351,569.25 = 1,062,351,569.25/x
  3. Step 3: Cross multiply
    691,580,063.25x = 1,062,351,569.25 × 1,062,351,569.25
  4. Step 4: Simplify right side
    691,580,063.25x = 1,128,590,856,687,937,536
  5. Step 5: Solve for x
    x = 1,128,590,856,687,937,536/691,580,063.25
  6. Step 6: Final answer
    x = 1,631,901,954.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.