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Finding the Third Proportional to 6,809,930,065 and 9,585,703,316

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Solution

The third proportional to 6,809,930,065 and 9,585,703,316 is: 13,492,900,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,930,065 : 9,585,703,316 = 9,585,703,316 : x
  2. Step 2: Convert to fraction form
    6,809,930,065/9,585,703,316 = 9,585,703,316/x
  3. Step 3: Cross multiply
    6,809,930,065x = 9,585,703,316 × 9,585,703,316
  4. Step 4: Simplify right side
    6,809,930,065x = 91,885,708,062,373,396,480
  5. Step 5: Solve for x
    x = 91,885,708,062,373,396,480/6,809,930,065
  6. Step 6: Final answer
    x = 13,492,900,394.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.