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Finding the Third Proportional to 7,561,336,225,950 and 16,269,488,715,352

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Solution

The third proportional to 7,561,336,225,950 and 16,269,488,715,352 is: 35,006,545,820,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561,336,225,950 : 16,269,488,715,352 = 16,269,488,715,352 : x
  2. Step 2: Convert to fraction form
    7,561,336,225,950/16,269,488,715,352 = 16,269,488,715,352/x
  3. Step 3: Cross multiply
    7,561,336,225,950x = 16,269,488,715,352 × 16,269,488,715,352
  4. Step 4: Simplify right side
    7,561,336,225,950x = 264,696,263,058,966,068,743,634,944
  5. Step 5: Solve for x
    x = 264,696,263,058,966,068,743,634,944/7,561,336,225,950
  6. Step 6: Final answer
    x = 35,006,545,820,637.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.