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Finding the Third Proportional to 429,768,175.50 and 928,157,607

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Solution

The third proportional to 429,768,175.50 and 928,157,607 is: 2,004,514,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,768,175.50 : 928,157,607 = 928,157,607 : x
  2. Step 2: Convert to fraction form
    429,768,175.50/928,157,607 = 928,157,607/x
  3. Step 3: Cross multiply
    429,768,175.50x = 928,157,607 × 928,157,607
  4. Step 4: Simplify right side
    429,768,175.50x = 861,476,543,431,966,464
  5. Step 5: Solve for x
    x = 861,476,543,431,966,464/429,768,175.50
  6. Step 6: Final answer
    x = 2,004,514,509.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.