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Finding the Third Proportional to 7,784,875,970 and 16,121,634,100

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Solution

The third proportional to 7,784,875,970 and 16,121,634,100 is: 33,386,156,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784,875,970 : 16,121,634,100 = 16,121,634,100 : x
  2. Step 2: Convert to fraction form
    7,784,875,970/16,121,634,100 = 16,121,634,100/x
  3. Step 3: Cross multiply
    7,784,875,970x = 16,121,634,100 × 16,121,634,100
  4. Step 4: Simplify right side
    7,784,875,970x = 259,907,086,054,282,821,632
  5. Step 5: Solve for x
    x = 259,907,086,054,282,821,632/7,784,875,970
  6. Step 6: Final answer
    x = 33,386,156,318.47

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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.