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Finding the Third Proportional to 5,512,746,772 and 8,473,487,694

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Solution

The third proportional to 5,512,746,772 and 8,473,487,694 is: 13,024,359,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512,746,772 : 8,473,487,694 = 8,473,487,694 : x
  2. Step 2: Convert to fraction form
    5,512,746,772/8,473,487,694 = 8,473,487,694/x
  3. Step 3: Cross multiply
    5,512,746,772x = 8,473,487,694 × 8,473,487,694
  4. Step 4: Simplify right side
    5,512,746,772x = 71,799,993,700,369,440,768
  5. Step 5: Solve for x
    x = 71,799,993,700,369,440,768/5,512,746,772
  6. Step 6: Final answer
    x = 13,024,359,120.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.