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Finding the Third Proportional to 4,211,046,954 and 9,124,288,416

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Solution

The third proportional to 4,211,046,954 and 9,124,288,416 is: 19,770,057,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,046,954 : 9,124,288,416 = 9,124,288,416 : x
  2. Step 2: Convert to fraction form
    4,211,046,954/9,124,288,416 = 9,124,288,416/x
  3. Step 3: Cross multiply
    4,211,046,954x = 9,124,288,416 × 9,124,288,416
  4. Step 4: Simplify right side
    4,211,046,954x = 83,252,639,098,351,796,224
  5. Step 5: Solve for x
    x = 83,252,639,098,351,796,224/4,211,046,954
  6. Step 6: Final answer
    x = 19,770,057,187.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.