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Finding the Third Proportional to 292,439,165 and 642,276,875

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Solution

The third proportional to 292,439,165 and 642,276,875 is: 1,410,616,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,439,165 : 642,276,875 = 642,276,875 : x
  2. Step 2: Convert to fraction form
    292,439,165/642,276,875 = 642,276,875/x
  3. Step 3: Cross multiply
    292,439,165x = 642,276,875 × 642,276,875
  4. Step 4: Simplify right side
    292,439,165x = 412,519,584,159,765,632
  5. Step 5: Solve for x
    x = 412,519,584,159,765,632/292,439,165
  6. Step 6: Final answer
    x = 1,410,616,748.82

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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.