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Finding the Third Proportional to 409,900,943,314.28 and 901,780,641,586.80

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Solution

The third proportional to 409,900,943,314.28 and 901,780,641,586.80 is: 1,983,914,257,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900,943,314.28 : 901,780,641,586.80 = 901,780,641,586.80 : x
  2. Step 2: Convert to fraction form
    409,900,943,314.28/901,780,641,586.80 = 901,780,641,586.80/x
  3. Step 3: Cross multiply
    409,900,943,314.28x = 901,780,641,586.80 × 901,780,641,586.80
  4. Step 4: Simplify right side
    409,900,943,314.28x = 813,208,325,540,700,758,212,608
  5. Step 5: Solve for x
    x = 813,208,325,540,700,758,212,608/409,900,943,314.28
  6. Step 6: Final answer
    x = 1,983,914,257,345.82

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1.5x scale

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.