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Finding the Third Proportional to 292,436,577 and 642,272,076

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Solution

The third proportional to 292,436,577 and 642,272,076 is: 1,410,608,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,436,577 : 642,272,076 = 642,272,076 : x
  2. Step 2: Convert to fraction form
    292,436,577/642,272,076 = 642,272,076/x
  3. Step 3: Cross multiply
    292,436,577x = 642,272,076 × 642,272,076
  4. Step 4: Simplify right side
    292,436,577x = 412,513,419,609,349,760
  5. Step 5: Solve for x
    x = 412,513,419,609,349,760/292,436,577
  6. Step 6: Final answer
    x = 1,410,608,152.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.