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Finding the Third Proportional to 923,964,770 and 2,054,513,506

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Solution

The third proportional to 923,964,770 and 2,054,513,506 is: 4,568,383,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,964,770 : 2,054,513,506 = 2,054,513,506 : x
  2. Step 2: Convert to fraction form
    923,964,770/2,054,513,506 = 2,054,513,506/x
  3. Step 3: Cross multiply
    923,964,770x = 2,054,513,506 × 2,054,513,506
  4. Step 4: Simplify right side
    923,964,770x = 4,221,025,746,336,412,160
  5. Step 5: Solve for x
    x = 4,221,025,746,336,412,160/923,964,770
  6. Step 6: Final answer
    x = 4,568,383,864.18

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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.