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Finding the Third Proportional to 217,148,758 and 473,315,756

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Solution

The third proportional to 217,148,758 and 473,315,756 is: 1,031,678,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,148,758 : 473,315,756 = 473,315,756 : x
  2. Step 2: Convert to fraction form
    217,148,758/473,315,756 = 473,315,756/x
  3. Step 3: Cross multiply
    217,148,758x = 473,315,756 × 473,315,756
  4. Step 4: Simplify right side
    217,148,758x = 224,027,804,877,851,520
  5. Step 5: Solve for x
    x = 224,027,804,877,851,520/217,148,758
  6. Step 6: Final answer
    x = 1,031,678,960.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.