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Finding the Third Proportional to 1,461,555,798.75 and 3,410,414,658

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Solution

The third proportional to 1,461,555,798.75 and 3,410,414,658 is: 7,957,909,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,555,798.75 : 3,410,414,658 = 3,410,414,658 : x
  2. Step 2: Convert to fraction form
    1,461,555,798.75/3,410,414,658 = 3,410,414,658/x
  3. Step 3: Cross multiply
    1,461,555,798.75x = 3,410,414,658 × 3,410,414,658
  4. Step 4: Simplify right side
    1,461,555,798.75x = 11,630,928,139,501,256,704
  5. Step 5: Solve for x
    x = 11,630,928,139,501,256,704/1,461,555,798.75
  6. Step 6: Final answer
    x = 7,957,909,064.74

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.