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Finding the Third Proportional to 548,110,922 and 1,293,486,143

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Solution

The third proportional to 548,110,922 and 1,293,486,143 is: 3,052,496,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,110,922 : 1,293,486,143 = 1,293,486,143 : x
  2. Step 2: Convert to fraction form
    548,110,922/1,293,486,143 = 1,293,486,143/x
  3. Step 3: Cross multiply
    548,110,922x = 1,293,486,143 × 1,293,486,143
  4. Step 4: Simplify right side
    548,110,922x = 1,673,106,402,133,016,576
  5. Step 5: Solve for x
    x = 1,673,106,402,133,016,576/548,110,922
  6. Step 6: Final answer
    x = 3,052,496,009.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.