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Finding the Third Proportional to 38,148,009 and 81,750,450

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Solution

The third proportional to 38,148,009 and 81,750,450 is: 175,189,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148,009 : 81,750,450 = 81,750,450 : x
  2. Step 2: Convert to fraction form
    38,148,009/81,750,450 = 81,750,450/x
  3. Step 3: Cross multiply
    38,148,009x = 81,750,450 × 81,750,450
  4. Step 4: Simplify right side
    38,148,009x = 6,683,136,075,202,500
  5. Step 5: Solve for x
    x = 6,683,136,075,202,500/38,148,009
  6. Step 6: Final answer
    x = 175,189,642.93

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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.