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Finding the Third Proportional to 454,462,920 and 981,567,072

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Solution

The third proportional to 454,462,920 and 981,567,072 is: 2,120,027,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,462,920 : 981,567,072 = 981,567,072 : x
  2. Step 2: Convert to fraction form
    454,462,920/981,567,072 = 981,567,072/x
  3. Step 3: Cross multiply
    454,462,920x = 981,567,072 × 981,567,072
  4. Step 4: Simplify right side
    454,462,920x = 963,473,916,834,653,184
  5. Step 5: Solve for x
    x = 963,473,916,834,653,184/454,462,920
  6. Step 6: Final answer
    x = 2,120,027,563.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.