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Finding the Third Proportional to 478,568,976.47 and 1,038,814,201.69

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Solution

The third proportional to 478,568,976.47 and 1,038,814,201.69 is: 2,254,920,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,568,976.47 : 1,038,814,201.69 = 1,038,814,201.69 : x
  2. Step 2: Convert to fraction form
    478,568,976.47/1,038,814,201.69 = 1,038,814,201.69/x
  3. Step 3: Cross multiply
    478,568,976.47x = 1,038,814,201.69 × 1,038,814,201.69
  4. Step 4: Simplify right side
    478,568,976.47x = 1,079,134,945,627,637,888
  5. Step 5: Solve for x
    x = 1,079,134,945,627,637,888/478,568,976.47
  6. Step 6: Final answer
    x = 2,254,920,395.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.