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Finding the Third Proportional to 484,102,749 and 726,649,852.50

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Solution

The third proportional to 484,102,749 and 726,649,852.50 is: 1,090,718,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,102,749 : 726,649,852.50 = 726,649,852.50 : x
  2. Step 2: Convert to fraction form
    484,102,749/726,649,852.50 = 726,649,852.50/x
  3. Step 3: Cross multiply
    484,102,749x = 726,649,852.50 × 726,649,852.50
  4. Step 4: Simplify right side
    484,102,749x = 528,020,008,138,271,744
  5. Step 5: Solve for x
    x = 528,020,008,138,271,744/484,102,749
  6. Step 6: Final answer
    x = 1,090,718,879.88

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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.