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Finding the Third Proportional to 507,752,657.58 and 1,105,646,358.80

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Solution

The third proportional to 507,752,657.58 and 1,105,646,358.80 is: 2,407,577,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,752,657.58 : 1,105,646,358.80 = 1,105,646,358.80 : x
  2. Step 2: Convert to fraction form
    507,752,657.58/1,105,646,358.80 = 1,105,646,358.80/x
  3. Step 3: Cross multiply
    507,752,657.58x = 1,105,646,358.80 × 1,105,646,358.80
  4. Step 4: Simplify right side
    507,752,657.58x = 1,222,453,870,720,843,520
  5. Step 5: Solve for x
    x = 1,222,453,870,720,843,520/507,752,657.58
  6. Step 6: Final answer
    x = 2,407,577,493.64

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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.