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Finding the Third Proportional to 9,286,922,969 and 14,200,482,074

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Solution

The third proportional to 9,286,922,969 and 14,200,482,074 is: 21,713,724,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286,922,969 : 14,200,482,074 = 14,200,482,074 : x
  2. Step 2: Convert to fraction form
    9,286,922,969/14,200,482,074 = 14,200,482,074/x
  3. Step 3: Cross multiply
    9,286,922,969x = 14,200,482,074 × 14,200,482,074
  4. Step 4: Simplify right side
    9,286,922,969x = 201,653,691,133,995,352,064
  5. Step 5: Solve for x
    x = 201,653,691,133,995,352,064/9,286,922,969
  6. Step 6: Final answer
    x = 21,713,724,966.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.