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Finding the Third Proportional to 48,039,301,241 and 100,054,732,507

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Solution

The third proportional to 48,039,301,241 and 100,054,732,507 is: 208,390,822,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039,301,241 : 100,054,732,507 = 100,054,732,507 : x
  2. Step 2: Convert to fraction form
    48,039,301,241/100,054,732,507 = 100,054,732,507/x
  3. Step 3: Cross multiply
    48,039,301,241x = 100,054,732,507 × 100,054,732,507
  4. Step 4: Simplify right side
    48,039,301,241x = 10,010,949,497,047,322,984,448
  5. Step 5: Solve for x
    x = 10,010,949,497,047,322,984,448/48,039,301,241
  6. Step 6: Final answer
    x = 208,390,822,481.48

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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.