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Finding the Third Proportional to 1,155,107,538 and 2,521,886,121

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Solution

The third proportional to 1,155,107,538 and 2,521,886,121 is: 5,505,902,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,107,538 : 2,521,886,121 = 2,521,886,121 : x
  2. Step 2: Convert to fraction form
    1,155,107,538/2,521,886,121 = 2,521,886,121/x
  3. Step 3: Cross multiply
    1,155,107,538x = 2,521,886,121 × 2,521,886,121
  4. Step 4: Simplify right side
    1,155,107,538x = 6,359,909,607,292,426,240
  5. Step 5: Solve for x
    x = 6,359,909,607,292,426,240/1,155,107,538
  6. Step 6: Final answer
    x = 5,505,902,609.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.