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Finding the Third Proportional to 174,910,784 and 382,771,072

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Solution

The third proportional to 174,910,784 and 382,771,072 is: 837,648,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,910,784 : 382,771,072 = 382,771,072 : x
  2. Step 2: Convert to fraction form
    174,910,784/382,771,072 = 382,771,072/x
  3. Step 3: Cross multiply
    174,910,784x = 382,771,072 × 382,771,072
  4. Step 4: Simplify right side
    174,910,784x = 146,513,693,560,029,184
  5. Step 5: Solve for x
    x = 146,513,693,560,029,184/174,910,784
  6. Step 6: Final answer
    x = 837,648,143.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.