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Finding the Third Proportional to 752,059,708,212 and 1,651,863,572,118

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Solution

The third proportional to 752,059,708,212 and 1,651,863,572,118 is: 3,628,240,193,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,059,708,212 : 1,651,863,572,118 = 1,651,863,572,118 : x
  2. Step 2: Convert to fraction form
    752,059,708,212/1,651,863,572,118 = 1,651,863,572,118/x
  3. Step 3: Cross multiply
    752,059,708,212x = 1,651,863,572,118 × 1,651,863,572,118
  4. Step 4: Simplify right side
    752,059,708,212x = 2,728,653,260,890,438,849,527,808
  5. Step 5: Solve for x
    x = 2,728,653,260,890,438,849,527,808/752,059,708,212
  6. Step 6: Final answer
    x = 3,628,240,193,026.34

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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.