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Finding the Third Proportional to 826,489,550 and 1,798,255,472

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Solution

The third proportional to 826,489,550 and 1,798,255,472 is: 3,912,599,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,489,550 : 1,798,255,472 = 1,798,255,472 : x
  2. Step 2: Convert to fraction form
    826,489,550/1,798,255,472 = 1,798,255,472/x
  3. Step 3: Cross multiply
    826,489,550x = 1,798,255,472 × 1,798,255,472
  4. Step 4: Simplify right side
    826,489,550x = 3,233,722,742,577,942,528
  5. Step 5: Solve for x
    x = 3,233,722,742,577,942,528/826,489,550
  6. Step 6: Final answer
    x = 3,912,599,672.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.