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Finding the Third Proportional to 77,140,444 and 164,742,722

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Solution

The third proportional to 77,140,444 and 164,742,722 is: 351,827,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140,444 : 164,742,722 = 164,742,722 : x
  2. Step 2: Convert to fraction form
    77,140,444/164,742,722 = 164,742,722/x
  3. Step 3: Cross multiply
    77,140,444x = 164,742,722 × 164,742,722
  4. Step 4: Simplify right side
    77,140,444x = 27,140,164,451,969,284
  5. Step 5: Solve for x
    x = 27,140,164,451,969,284/77,140,444
  6. Step 6: Final answer
    x = 351,827,952.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.