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Finding the Third Proportional to 454,705,298,376 and 978,375,051,657

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Solution

The third proportional to 454,705,298,376 and 978,375,051,657 is: 2,105,138,746,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,705,298,376 : 978,375,051,657 = 978,375,051,657 : x
  2. Step 2: Convert to fraction form
    454,705,298,376/978,375,051,657 = 978,375,051,657/x
  3. Step 3: Cross multiply
    454,705,298,376x = 978,375,051,657 × 978,375,051,657
  4. Step 4: Simplify right side
    454,705,298,376x = 957,217,741,704,837,378,080,768
  5. Step 5: Solve for x
    x = 957,217,741,704,837,378,080,768/454,705,298,376
  6. Step 6: Final answer
    x = 2,105,138,746,180.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.