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Finding the Third Proportional to 29,990,606,765 and 62,463,518,413

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Solution

The third proportional to 29,990,606,765 and 62,463,518,413 is: 130,097,105,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,990,606,765 : 62,463,518,413 = 62,463,518,413 : x
  2. Step 2: Convert to fraction form
    29,990,606,765/62,463,518,413 = 62,463,518,413/x
  3. Step 3: Cross multiply
    29,990,606,765x = 62,463,518,413 × 62,463,518,413
  4. Step 4: Simplify right side
    29,990,606,765x = 3,901,691,132,531,190,005,760
  5. Step 5: Solve for x
    x = 3,901,691,132,531,190,005,760/29,990,606,765
  6. Step 6: Final answer
    x = 130,097,105,507.20

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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.