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Finding the Third Proportional to 798,414,460.50 and 1,747,341,747

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Solution

The third proportional to 798,414,460.50 and 1,747,341,747 is: 3,824,083,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,414,460.50 : 1,747,341,747 = 1,747,341,747 : x
  2. Step 2: Convert to fraction form
    798,414,460.50/1,747,341,747 = 1,747,341,747/x
  3. Step 3: Cross multiply
    798,414,460.50x = 1,747,341,747 × 1,747,341,747
  4. Step 4: Simplify right side
    798,414,460.50x = 3,053,203,180,809,012,224
  5. Step 5: Solve for x
    x = 3,053,203,180,809,012,224/798,414,460.50
  6. Step 6: Final answer
    x = 3,824,083,019.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.