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Finding the Third Proportional to 4,205,655,729 and 8,974,216,824.75

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Solution

The third proportional to 4,205,655,729 and 8,974,216,824.75 is: 19,149,586,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,655,729 : 8,974,216,824.75 = 8,974,216,824.75 : x
  2. Step 2: Convert to fraction form
    4,205,655,729/8,974,216,824.75 = 8,974,216,824.75/x
  3. Step 3: Cross multiply
    4,205,655,729x = 8,974,216,824.75 × 8,974,216,824.75
  4. Step 4: Simplify right side
    4,205,655,729x = 80,536,567,617,625,964,544
  5. Step 5: Solve for x
    x = 80,536,567,617,625,964,544/4,205,655,729
  6. Step 6: Final answer
    x = 19,149,586,368.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.