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Finding the Third Proportional to 809,786,276,010 and 1,741,442,602,140

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Solution

The third proportional to 809,786,276,010 and 1,741,442,602,140 is: 3,744,966,328,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,786,276,010 : 1,741,442,602,140 = 1,741,442,602,140 : x
  2. Step 2: Convert to fraction form
    809,786,276,010/1,741,442,602,140 = 1,741,442,602,140/x
  3. Step 3: Cross multiply
    809,786,276,010x = 1,741,442,602,140 × 1,741,442,602,140
  4. Step 4: Simplify right side
    809,786,276,010x = 3,032,622,336,548,134,186,909,696
  5. Step 5: Solve for x
    x = 3,032,622,336,548,134,186,909,696/809,786,276,010
  6. Step 6: Final answer
    x = 3,744,966,328,017.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.