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Finding the Third Proportional to 7,372,249,624 and 16,247,198,498

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Solution

The third proportional to 7,372,249,624 and 16,247,198,498 is: 35,806,093,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,372,249,624 : 16,247,198,498 = 16,247,198,498 : x
  2. Step 2: Convert to fraction form
    7,372,249,624/16,247,198,498 = 16,247,198,498/x
  3. Step 3: Cross multiply
    7,372,249,624x = 16,247,198,498 × 16,247,198,498
  4. Step 4: Simplify right side
    7,372,249,624x = 263,971,459,033,413,451,776
  5. Step 5: Solve for x
    x = 263,971,459,033,413,451,776/7,372,249,624
  6. Step 6: Final answer
    x = 35,806,093,458.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.