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Finding the Third Proportional to 4,197,874,398 and 9,186,536,316

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Solution

The third proportional to 4,197,874,398 and 9,186,536,316 is: 20,103,614,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,874,398 : 9,186,536,316 = 9,186,536,316 : x
  2. Step 2: Convert to fraction form
    4,197,874,398/9,186,536,316 = 9,186,536,316/x
  3. Step 3: Cross multiply
    4,197,874,398x = 9,186,536,316 × 9,186,536,316
  4. Step 4: Simplify right side
    4,197,874,398x = 84,392,449,485,186,859,008
  5. Step 5: Solve for x
    x = 84,392,449,485,186,859,008/4,197,874,398
  6. Step 6: Final answer
    x = 20,103,614,706.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.