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Finding the Third Proportional to 217,148,756 and 473,315,752

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Solution

The third proportional to 217,148,756 and 473,315,752 is: 1,031,678,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,148,756 : 473,315,752 = 473,315,752 : x
  2. Step 2: Convert to fraction form
    217,148,756/473,315,752 = 473,315,752/x
  3. Step 3: Cross multiply
    217,148,756x = 473,315,752 × 473,315,752
  4. Step 4: Simplify right side
    217,148,756x = 224,027,801,091,325,504
  5. Step 5: Solve for x
    x = 224,027,801,091,325,504/217,148,756
  6. Step 6: Final answer
    x = 1,031,678,952.34

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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.