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Finding the Third Proportional to 72,994,743 and 109,506,721.50

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Solution

The third proportional to 72,994,743 and 109,506,721.50 is: 164,281,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,994,743 : 109,506,721.50 = 109,506,721.50 : x
  2. Step 2: Convert to fraction form
    72,994,743/109,506,721.50 = 109,506,721.50/x
  3. Step 3: Cross multiply
    72,994,743x = 109,506,721.50 × 109,506,721.50
  4. Step 4: Simplify right side
    72,994,743x = 11,991,722,053,678,562
  5. Step 5: Solve for x
    x = 11,991,722,053,678,562/72,994,743
  6. Step 6: Final answer
    x = 164,281,995.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.