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Finding the Third Proportional to 2,602,313,945 and 3,964,486,767

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Solution

The third proportional to 2,602,313,945 and 3,964,486,767 is: 6,039,684,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,313,945 : 3,964,486,767 = 3,964,486,767 : x
  2. Step 2: Convert to fraction form
    2,602,313,945/3,964,486,767 = 3,964,486,767/x
  3. Step 3: Cross multiply
    2,602,313,945x = 3,964,486,767 × 3,964,486,767
  4. Step 4: Simplify right side
    2,602,313,945x = 15,717,155,325,718,112,256
  5. Step 5: Solve for x
    x = 15,717,155,325,718,112,256/2,602,313,945
  6. Step 6: Final answer
    x = 6,039,684,549.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.