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Finding the Third Proportional to 202,446,569,022 and 435,360,650,580

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Solution

The third proportional to 202,446,569,022 and 435,360,650,580 is: 936,241,582,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446,569,022 : 435,360,650,580 = 435,360,650,580 : x
  2. Step 2: Convert to fraction form
    202,446,569,022/435,360,650,580 = 435,360,650,580/x
  3. Step 3: Cross multiply
    202,446,569,022x = 435,360,650,580 × 435,360,650,580
  4. Step 4: Simplify right side
    202,446,569,022x = 189,538,896,073,440,870,006,784
  5. Step 5: Solve for x
    x = 189,538,896,073,440,870,006,784/202,446,569,022
  6. Step 6: Final answer
    x = 936,241,582,107.74

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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.