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Finding the Third Proportional to 41,109,226,240 and 65,412,860,370

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Solution

The third proportional to 41,109,226,240 and 65,412,860,370 is: 104,084,719,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109,226,240 : 65,412,860,370 = 65,412,860,370 : x
  2. Step 2: Convert to fraction form
    41,109,226,240/65,412,860,370 = 65,412,860,370/x
  3. Step 3: Cross multiply
    41,109,226,240x = 65,412,860,370 × 65,412,860,370
  4. Step 4: Simplify right side
    41,109,226,240x = 4,278,842,301,785,116,770,304
  5. Step 5: Solve for x
    x = 4,278,842,301,785,116,770,304/41,109,226,240
  6. Step 6: Final answer
    x = 104,084,719,980.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.