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Finding the Third Proportional to 1,578,315,812 and 2,206,578,397.50

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Solution

The third proportional to 1,578,315,812 and 2,206,578,397.50 is: 3,084,926,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,315,812 : 2,206,578,397.50 = 2,206,578,397.50 : x
  2. Step 2: Convert to fraction form
    1,578,315,812/2,206,578,397.50 = 2,206,578,397.50/x
  3. Step 3: Cross multiply
    1,578,315,812x = 2,206,578,397.50 × 2,206,578,397.50
  4. Step 4: Simplify right side
    1,578,315,812x = 4,868,988,224,313,667,584
  5. Step 5: Solve for x
    x = 4,868,988,224,313,667,584/1,578,315,812
  6. Step 6: Final answer
    x = 3,084,926,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.