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Finding the Third Proportional to 516,471,153 and 1,106,623,697

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Solution

The third proportional to 516,471,153 and 1,106,623,697 is: 2,371,121,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,471,153 : 1,106,623,697 = 1,106,623,697 : x
  2. Step 2: Convert to fraction form
    516,471,153/1,106,623,697 = 1,106,623,697/x
  3. Step 3: Cross multiply
    516,471,153x = 1,106,623,697 × 1,106,623,697
  4. Step 4: Simplify right side
    516,471,153x = 1,224,616,006,761,947,904
  5. Step 5: Solve for x
    x = 1,224,616,006,761,947,904/516,471,153
  6. Step 6: Final answer
    x = 2,371,121,793.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.