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Finding the Third Proportional to 5,699,163,464 and 8,718,242,604

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Solution

The third proportional to 5,699,163,464 and 8,718,242,604 is: 13,336,650,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699,163,464 : 8,718,242,604 = 8,718,242,604 : x
  2. Step 2: Convert to fraction form
    5,699,163,464/8,718,242,604 = 8,718,242,604/x
  3. Step 3: Cross multiply
    5,699,163,464x = 8,718,242,604 × 8,718,242,604
  4. Step 4: Simplify right side
    5,699,163,464x = 76,007,754,102,200,696,832
  5. Step 5: Solve for x
    x = 76,007,754,102,200,696,832/5,699,163,464
  6. Step 6: Final answer
    x = 13,336,650,998.40

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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.