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Finding the Third Proportional to 7,784,875,976 and 16,121,634,110

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Solution

The third proportional to 7,784,875,976 and 16,121,634,110 is: 33,386,156,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784,875,976 : 16,121,634,110 = 16,121,634,110 : x
  2. Step 2: Convert to fraction form
    7,784,875,976/16,121,634,110 = 16,121,634,110/x
  3. Step 3: Cross multiply
    7,784,875,976x = 16,121,634,110 × 16,121,634,110
  4. Step 4: Simplify right side
    7,784,875,976x = 259,907,086,376,715,485,184
  5. Step 5: Solve for x
    x = 259,907,086,376,715,485,184/7,784,875,976
  6. Step 6: Final answer
    x = 33,386,156,334.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.