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Finding the Third Proportional to 411,772,680 and 627,307,213.50

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Solution

The third proportional to 411,772,680 and 627,307,213.50 is: 955,659,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,772,680 : 627,307,213.50 = 627,307,213.50 : x
  2. Step 2: Convert to fraction form
    411,772,680/627,307,213.50 = 627,307,213.50/x
  3. Step 3: Cross multiply
    411,772,680x = 627,307,213.50 × 627,307,213.50
  4. Step 4: Simplify right side
    411,772,680x = 393,514,340,109,134,592
  5. Step 5: Solve for x
    x = 393,514,340,109,134,592/411,772,680
  6. Step 6: Final answer
    x = 955,659,176.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.