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Finding the Third Proportional to 475,480,646.44 and 1,035,373,205.25

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Solution

The third proportional to 475,480,646.44 and 1,035,373,205.25 is: 2,254,555,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,646.44 : 1,035,373,205.25 = 1,035,373,205.25 : x
  2. Step 2: Convert to fraction form
    475,480,646.44/1,035,373,205.25 = 1,035,373,205.25/x
  3. Step 3: Cross multiply
    475,480,646.44x = 1,035,373,205.25 × 1,035,373,205.25
  4. Step 4: Simplify right side
    475,480,646.44x = 1,071,997,674,149,658,624
  5. Step 5: Solve for x
    x = 1,071,997,674,149,658,624/475,480,646.44
  6. Step 6: Final answer
    x = 2,254,555,852.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.