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Finding the Third Proportional to 1,023,616,288 and 2,210,338,928

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Solution

The third proportional to 1,023,616,288 and 2,210,338,928 is: 4,772,880,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,616,288 : 2,210,338,928 = 2,210,338,928 : x
  2. Step 2: Convert to fraction form
    1,023,616,288/2,210,338,928 = 2,210,338,928/x
  3. Step 3: Cross multiply
    1,023,616,288x = 2,210,338,928 × 2,210,338,928
  4. Step 4: Simplify right side
    1,023,616,288x = 4,885,598,176,632,188,928
  5. Step 5: Solve for x
    x = 4,885,598,176,632,188,928/1,023,616,288
  6. Step 6: Final answer
    x = 4,772,880,457.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.