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Finding the Third Proportional to 292,436,616 and 642,272,160

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Solution

The third proportional to 292,436,616 and 642,272,160 is: 1,410,608,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,436,616 : 642,272,160 = 642,272,160 : x
  2. Step 2: Convert to fraction form
    292,436,616/642,272,160 = 642,272,160/x
  3. Step 3: Cross multiply
    292,436,616x = 642,272,160 × 642,272,160
  4. Step 4: Simplify right side
    292,436,616x = 412,513,527,511,065,600
  5. Step 5: Solve for x
    x = 412,513,527,511,065,600/292,436,616
  6. Step 6: Final answer
    x = 1,410,608,333.37

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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.