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Finding the Third Proportional to 923,964,829 and 2,054,513,624

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Solution

The third proportional to 923,964,829 and 2,054,513,624 is: 4,568,384,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,964,829 : 2,054,513,624 = 2,054,513,624 : x
  2. Step 2: Convert to fraction form
    923,964,829/2,054,513,624 = 2,054,513,624/x
  3. Step 3: Cross multiply
    923,964,829x = 2,054,513,624 × 2,054,513,624
  4. Step 4: Simplify right side
    923,964,829x = 4,221,026,231,201,613,312
  5. Step 5: Solve for x
    x = 4,221,026,231,201,613,312/923,964,829
  6. Step 6: Final answer
    x = 4,568,384,097.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.