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Finding the Third Proportional to 1,048,487,928 and 1,627,977,330

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Solution

The third proportional to 1,048,487,928 and 1,627,977,330 is: 2,527,745,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,487,928 : 1,627,977,330 = 1,627,977,330 : x
  2. Step 2: Convert to fraction form
    1,048,487,928/1,627,977,330 = 1,627,977,330/x
  3. Step 3: Cross multiply
    1,048,487,928x = 1,627,977,330 × 1,627,977,330
  4. Step 4: Simplify right side
    1,048,487,928x = 2,650,310,186,993,928,704
  5. Step 5: Solve for x
    x = 2,650,310,186,993,928,704/1,048,487,928
  6. Step 6: Final answer
    x = 2,527,745,066.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.