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Finding the Third Proportional to 1,362,918,429 and 2,964,632,934

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Solution

The third proportional to 1,362,918,429 and 2,964,632,934 is: 6,448,697,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,918,429 : 2,964,632,934 = 2,964,632,934 : x
  2. Step 2: Convert to fraction form
    1,362,918,429/2,964,632,934 = 2,964,632,934/x
  3. Step 3: Cross multiply
    1,362,918,429x = 2,964,632,934 × 2,964,632,934
  4. Step 4: Simplify right side
    1,362,918,429x = 8,789,048,433,357,448,192
  5. Step 5: Solve for x
    x = 8,789,048,433,357,448,192/1,362,918,429
  6. Step 6: Final answer
    x = 6,448,697,329.46

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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.