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Finding the Third Proportional to 645,359,198 and 975,722,132

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Solution

The third proportional to 645,359,198 and 975,722,132 is: 1,475,199,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,359,198 : 975,722,132 = 975,722,132 : x
  2. Step 2: Convert to fraction form
    645,359,198/975,722,132 = 975,722,132/x
  3. Step 3: Cross multiply
    645,359,198x = 975,722,132 × 975,722,132
  4. Step 4: Simplify right side
    645,359,198x = 952,033,678,874,625,408
  5. Step 5: Solve for x
    x = 952,033,678,874,625,408/645,359,198
  6. Step 6: Final answer
    x = 1,475,199,674.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.