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Finding the Third Proportional to 165,478,806 and 266,630,427

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Solution

The third proportional to 165,478,806 and 266,630,427 is: 429,612,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,478,806 : 266,630,427 = 266,630,427 : x
  2. Step 2: Convert to fraction form
    165,478,806/266,630,427 = 266,630,427/x
  3. Step 3: Cross multiply
    165,478,806x = 266,630,427 × 266,630,427
  4. Step 4: Simplify right side
    165,478,806x = 71,091,784,602,202,328
  5. Step 5: Solve for x
    x = 71,091,784,602,202,328/165,478,806
  6. Step 6: Final answer
    x = 429,612,627.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.