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Finding the Third Proportional to 833,527,233.56 and 1,645,973,973.56

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Solution

The third proportional to 833,527,233.56 and 1,645,973,973.56 is: 3,250,320,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,527,233.56 : 1,645,973,973.56 = 1,645,973,973.56 : x
  2. Step 2: Convert to fraction form
    833,527,233.56/1,645,973,973.56 = 1,645,973,973.56/x
  3. Step 3: Cross multiply
    833,527,233.56x = 1,645,973,973.56 × 1,645,973,973.56
  4. Step 4: Simplify right side
    833,527,233.56x = 2,709,230,321,645,125,632
  5. Step 5: Solve for x
    x = 2,709,230,321,645,125,632/833,527,233.56
  6. Step 6: Final answer
    x = 3,250,320,100.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.