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Finding the Third Proportional to 516,471,151 and 1,106,623,693

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Solution

The third proportional to 516,471,151 and 1,106,623,693 is: 2,371,121,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,471,151 : 1,106,623,693 = 1,106,623,693 : x
  2. Step 2: Convert to fraction form
    516,471,151/1,106,623,693 = 1,106,623,693/x
  3. Step 3: Cross multiply
    516,471,151x = 1,106,623,693 × 1,106,623,693
  4. Step 4: Simplify right side
    516,471,151x = 1,224,615,997,908,958,208
  5. Step 5: Solve for x
    x = 1,224,615,997,908,958,208/516,471,151
  6. Step 6: Final answer
    x = 2,371,121,785.87

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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.