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Finding the Third Proportional to 427,741,528.50 and 916,872,723

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Solution

The third proportional to 427,741,528.50 and 916,872,723 is: 1,965,335,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,741,528.50 : 916,872,723 = 916,872,723 : x
  2. Step 2: Convert to fraction form
    427,741,528.50/916,872,723 = 916,872,723/x
  3. Step 3: Cross multiply
    427,741,528.50x = 916,872,723 × 916,872,723
  4. Step 4: Simplify right side
    427,741,528.50x = 840,655,590,181,434,752
  5. Step 5: Solve for x
    x = 840,655,590,181,434,752/427,741,528.50
  6. Step 6: Final answer
    x = 1,965,335,451.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.