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Finding the Third Proportional to 73,488,768 and 171,648,352

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Solution

The third proportional to 73,488,768 and 171,648,352 is: 400,920,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,488,768 : 171,648,352 = 171,648,352 : x
  2. Step 2: Convert to fraction form
    73,488,768/171,648,352 = 171,648,352/x
  3. Step 3: Cross multiply
    73,488,768x = 171,648,352 × 171,648,352
  4. Step 4: Simplify right side
    73,488,768x = 29,463,156,744,315,904
  5. Step 5: Solve for x
    x = 29,463,156,744,315,904/73,488,768
  6. Step 6: Final answer
    x = 400,920,542.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.