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Finding the Third Proportional to 1,362,918,428 and 2,964,632,932

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Solution

The third proportional to 1,362,918,428 and 2,964,632,932 is: 6,448,697,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,918,428 : 2,964,632,932 = 2,964,632,932 : x
  2. Step 2: Convert to fraction form
    1,362,918,428/2,964,632,932 = 2,964,632,932/x
  3. Step 3: Cross multiply
    1,362,918,428x = 2,964,632,932 × 2,964,632,932
  4. Step 4: Simplify right side
    1,362,918,428x = 8,789,048,421,498,916,864
  5. Step 5: Solve for x
    x = 8,789,048,421,498,916,864/1,362,918,428
  6. Step 6: Final answer
    x = 6,448,697,325.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.