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Finding the Third Proportional to 48,039,301,239 and 100,054,732,503

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Solution

The third proportional to 48,039,301,239 and 100,054,732,503 is: 208,390,822,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039,301,239 : 100,054,732,503 = 100,054,732,503 : x
  2. Step 2: Convert to fraction form
    48,039,301,239/100,054,732,503 = 100,054,732,503/x
  3. Step 3: Cross multiply
    48,039,301,239x = 100,054,732,503 × 100,054,732,503
  4. Step 4: Simplify right side
    48,039,301,239x = 10,010,949,496,246,884,106,240
  5. Step 5: Solve for x
    x = 10,010,949,496,246,884,106,240/48,039,301,239
  6. Step 6: Final answer
    x = 208,390,822,473.49

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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.