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Finding the Third Proportional to 2,305,879,570,649 and 4,802,615,391,865

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Solution

The third proportional to 2,305,879,570,649 and 4,802,615,391,865 is: 10,002,740,340,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,879,570,649 : 4,802,615,391,865 = 4,802,615,391,865 : x
  2. Step 2: Convert to fraction form
    2,305,879,570,649/4,802,615,391,865 = 4,802,615,391,865/x
  3. Step 3: Cross multiply
    2,305,879,570,649x = 4,802,615,391,865 × 4,802,615,391,865
  4. Step 4: Simplify right side
    2,305,879,570,649x = 23,065,114,602,178,606,165,655,552
  5. Step 5: Solve for x
    x = 23,065,114,602,178,606,165,655,552/2,305,879,570,649
  6. Step 6: Final answer
    x = 10,002,740,340,722.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.