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Finding the Third Proportional to 9,359,132,488 and 20,329,369,168

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Solution

The third proportional to 9,359,132,488 and 20,329,369,168 is: 44,158,286,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359,132,488 : 20,329,369,168 = 20,329,369,168 : x
  2. Step 2: Convert to fraction form
    9,359,132,488/20,329,369,168 = 20,329,369,168/x
  3. Step 3: Cross multiply
    9,359,132,488x = 20,329,369,168 × 20,329,369,168
  4. Step 4: Simplify right side
    9,359,132,488x = 413,283,250,768,829,022,208
  5. Step 5: Solve for x
    x = 413,283,250,768,829,022,208/9,359,132,488
  6. Step 6: Final answer
    x = 44,158,286,176.49

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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.