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Finding the Third Proportional to 4,398,584,338,653.80 and 9,469,409,288,431.50

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Solution

The third proportional to 4,398,584,338,653.80 and 9,469,409,288,431.50 is: 20,386,039,090,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398,584,338,653.80 : 9,469,409,288,431.50 = 9,469,409,288,431.50 : x
  2. Step 2: Convert to fraction form
    4,398,584,338,653.80/9,469,409,288,431.50 = 9,469,409,288,431.50/x
  3. Step 3: Cross multiply
    4,398,584,338,653.80x = 9,469,409,288,431.50 × 9,469,409,288,431.50
  4. Step 4: Simplify right side
    4,398,584,338,653.80x = 89,669,712,271,832,769,506,574,336
  5. Step 5: Solve for x
    x = 89,669,712,271,832,769,506,574,336/4,398,584,338,653.80
  6. Step 6: Final answer
    x = 20,386,039,090,767.20

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